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Simplifying 2x + 5x + -9 + 4(7x + -3) + -5 + 15x = [-2(x + -4) + 3x + -7 + -7x + 1] Reorder the terms: 2x + 5x + -9 + 4(-3 + 7x) + -5 + 15x = [-2(x + -4) + 3x + -7 + -7x + 1] 2x + 5x + -9 + (-3 * 4 + 7x * 4) + -5 + 15x = [-2(x + -4) + 3x + -7 + -7x + 1] 2x + 5x + -9 + (-12 + 28x) + -5 + 15x = [-2(x + -4) + 3x + -7 + -7x + 1] Reorder the terms: -9 + -12 + -5 + 2x + 5x + 28x + 15x = [-2(x + -4) + 3x + -7 + -7x + 1] Combine like terms: -9 + -12 = -21 -21 + -5 + 2x + 5x + 28x + 15x = [-2(x + -4) + 3x + -7 + -7x + 1] Combine like terms: -21 + -5 = -26 -26 + 2x + 5x + 28x + 15x = [-2(x + -4) + 3x + -7 + -7x + 1] Combine like terms: 2x + 5x = 7x -26 + 7x + 28x + 15x = [-2(x + -4) + 3x + -7 + -7x + 1] Combine like terms: 7x + 28x = 35x -26 + 35x + 15x = [-2(x + -4) + 3x + -7 + -7x + 1] Combine like terms: 35x + 15x = 50x -26 + 50x = [-2(x + -4) + 3x + -7 + -7x + 1] Reorder the terms: -26 + 50x = [-2(-4 + x) + 3x + -7 + -7x + 1] -26 + 50x = [(-4 * -2 + x * -2) + 3x + -7 + -7x + 1] -26 + 50x = [(8 + -2x) + 3x + -7 + -7x + 1] Reorder the terms: -26 + 50x = [8 + -7 + 1 + -2x + 3x + -7x] Combine like terms: 8 + -7 = 1 -26 + 50x = [1 + 1 + -2x + 3x + -7x] Combine like terms: 1 + 1 = 2 -26 + 50x = [2 + -2x + 3x + -7x] Combine like terms: -2x + 3x = 1x -26 + 50x = [2 + 1x + -7x] Combine like terms: 1x + -7x = -6x -26 + 50x = [2 + -6x] Remove brackets around [2 + -6x] -26 + 50x = 2 + -6x Solving -26 + 50x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -26 + 50x + 6x = 2 + -6x + 6x Combine like terms: 50x + 6x = 56x -26 + 56x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -26 + 56x = 2 + 0 -26 + 56x = 2 Add '26' to each side of the equation. -26 + 26 + 56x = 2 + 26 Combine like terms: -26 + 26 = 0 0 + 56x = 2 + 26 56x = 2 + 26 Combine like terms: 2 + 26 = 28 56x = 28 Divide each side by '56'. x = 0.5 Simplifying x = 0.5
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