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Simplifying 5x + -4(-1x + -3(-2 + -1x) + 6) = 7x + 6(5 + 4(3 + x)) + 2 5x + -4(-1x + (-2 * -3 + -1x * -3) + 6) = 7x + 6(5 + 4(3 + x)) + 2 5x + -4(-1x + (6 + 3x) + 6) = 7x + 6(5 + 4(3 + x)) + 2 Reorder the terms: 5x + -4(6 + 6 + -1x + 3x) = 7x + 6(5 + 4(3 + x)) + 2 Combine like terms: 6 + 6 = 12 5x + -4(12 + -1x + 3x) = 7x + 6(5 + 4(3 + x)) + 2 Combine like terms: -1x + 3x = 2x 5x + -4(12 + 2x) = 7x + 6(5 + 4(3 + x)) + 2 5x + (12 * -4 + 2x * -4) = 7x + 6(5 + 4(3 + x)) + 2 5x + (-48 + -8x) = 7x + 6(5 + 4(3 + x)) + 2 Reorder the terms: -48 + 5x + -8x = 7x + 6(5 + 4(3 + x)) + 2 Combine like terms: 5x + -8x = -3x -48 + -3x = 7x + 6(5 + 4(3 + x)) + 2 -48 + -3x = 7x + 6(5 + (3 * 4 + x * 4)) + 2 -48 + -3x = 7x + 6(5 + (12 + 4x)) + 2 Combine like terms: 5 + 12 = 17 -48 + -3x = 7x + 6(17 + 4x) + 2 -48 + -3x = 7x + (17 * 6 + 4x * 6) + 2 -48 + -3x = 7x + (102 + 24x) + 2 Reorder the terms: -48 + -3x = 102 + 2 + 7x + 24x Combine like terms: 102 + 2 = 104 -48 + -3x = 104 + 7x + 24x Combine like terms: 7x + 24x = 31x -48 + -3x = 104 + 31x Solving -48 + -3x = 104 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. -48 + -3x + -31x = 104 + 31x + -31x Combine like terms: -3x + -31x = -34x -48 + -34x = 104 + 31x + -31x Combine like terms: 31x + -31x = 0 -48 + -34x = 104 + 0 -48 + -34x = 104 Add '48' to each side of the equation. -48 + 48 + -34x = 104 + 48 Combine like terms: -48 + 48 = 0 0 + -34x = 104 + 48 -34x = 104 + 48 Combine like terms: 104 + 48 = 152 -34x = 152 Divide each side by '-34'. x = -4.470588235 Simplifying x = -4.470588235
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