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Simplifying 2[7(2x + -1) + -3(4x + -1)] = 4[5(3x + 2) + -1] + -1(19x + 13) Reorder the terms: 2[7(-1 + 2x) + -3(4x + -1)] = 4[5(3x + 2) + -1] + -1(19x + 13) 2[(-1 * 7 + 2x * 7) + -3(4x + -1)] = 4[5(3x + 2) + -1] + -1(19x + 13) 2[(-7 + 14x) + -3(4x + -1)] = 4[5(3x + 2) + -1] + -1(19x + 13) Reorder the terms: 2[-7 + 14x + -3(-1 + 4x)] = 4[5(3x + 2) + -1] + -1(19x + 13) 2[-7 + 14x + (-1 * -3 + 4x * -3)] = 4[5(3x + 2) + -1] + -1(19x + 13) 2[-7 + 14x + (3 + -12x)] = 4[5(3x + 2) + -1] + -1(19x + 13) Reorder the terms: 2[-7 + 3 + 14x + -12x] = 4[5(3x + 2) + -1] + -1(19x + 13) Combine like terms: -7 + 3 = -4 2[-4 + 14x + -12x] = 4[5(3x + 2) + -1] + -1(19x + 13) Combine like terms: 14x + -12x = 2x 2[-4 + 2x] = 4[5(3x + 2) + -1] + -1(19x + 13) [-4 * 2 + 2x * 2] = 4[5(3x + 2) + -1] + -1(19x + 13) [-8 + 4x] = 4[5(3x + 2) + -1] + -1(19x + 13) Reorder the terms: -8 + 4x = 4[5(2 + 3x) + -1] + -1(19x + 13) -8 + 4x = 4[(2 * 5 + 3x * 5) + -1] + -1(19x + 13) -8 + 4x = 4[(10 + 15x) + -1] + -1(19x + 13) Reorder the terms: -8 + 4x = 4[10 + -1 + 15x] + -1(19x + 13) Combine like terms: 10 + -1 = 9 -8 + 4x = 4[9 + 15x] + -1(19x + 13) -8 + 4x = [9 * 4 + 15x * 4] + -1(19x + 13) -8 + 4x = [36 + 60x] + -1(19x + 13) Reorder the terms: -8 + 4x = 36 + 60x + -1(13 + 19x) -8 + 4x = 36 + 60x + (13 * -1 + 19x * -1) -8 + 4x = 36 + 60x + (-13 + -19x) Reorder the terms: -8 + 4x = 36 + -13 + 60x + -19x Combine like terms: 36 + -13 = 23 -8 + 4x = 23 + 60x + -19x Combine like terms: 60x + -19x = 41x -8 + 4x = 23 + 41x Solving -8 + 4x = 23 + 41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41x' to each side of the equation. -8 + 4x + -41x = 23 + 41x + -41x Combine like terms: 4x + -41x = -37x -8 + -37x = 23 + 41x + -41x Combine like terms: 41x + -41x = 0 -8 + -37x = 23 + 0 -8 + -37x = 23 Add '8' to each side of the equation. -8 + 8 + -37x = 23 + 8 Combine like terms: -8 + 8 = 0 0 + -37x = 23 + 8 -37x = 23 + 8 Combine like terms: 23 + 8 = 31 -37x = 31 Divide each side by '-37'. x = -0.8378378378 Simplifying x = -0.8378378378
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