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Simplifying -4(x + -12) = 11(x + -12) Reorder the terms: -4(-12 + x) = 11(x + -12) (-12 * -4 + x * -4) = 11(x + -12) (48 + -4x) = 11(x + -12) Reorder the terms: 48 + -4x = 11(-12 + x) 48 + -4x = (-12 * 11 + x * 11) 48 + -4x = (-132 + 11x) Solving 48 + -4x = -132 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 48 + -4x + -11x = -132 + 11x + -11x Combine like terms: -4x + -11x = -15x 48 + -15x = -132 + 11x + -11x Combine like terms: 11x + -11x = 0 48 + -15x = -132 + 0 48 + -15x = -132 Add '-48' to each side of the equation. 48 + -48 + -15x = -132 + -48 Combine like terms: 48 + -48 = 0 0 + -15x = -132 + -48 -15x = -132 + -48 Combine like terms: -132 + -48 = -180 -15x = -180 Divide each side by '-15'. x = 12 Simplifying x = 12
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