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Simplifying 12(x + -11) + -3 = 15x + -159 Reorder the terms: 12(-11 + x) + -3 = 15x + -159 (-11 * 12 + x * 12) + -3 = 15x + -159 (-132 + 12x) + -3 = 15x + -159 Reorder the terms: -132 + -3 + 12x = 15x + -159 Combine like terms: -132 + -3 = -135 -135 + 12x = 15x + -159 Reorder the terms: -135 + 12x = -159 + 15x Solving -135 + 12x = -159 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -135 + 12x + -15x = -159 + 15x + -15x Combine like terms: 12x + -15x = -3x -135 + -3x = -159 + 15x + -15x Combine like terms: 15x + -15x = 0 -135 + -3x = -159 + 0 -135 + -3x = -159 Add '135' to each side of the equation. -135 + 135 + -3x = -159 + 135 Combine like terms: -135 + 135 = 0 0 + -3x = -159 + 135 -3x = -159 + 135 Combine like terms: -159 + 135 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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