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Simplifying -4(x + -10) = 12(x + -1) Reorder the terms: -4(-10 + x) = 12(x + -1) (-10 * -4 + x * -4) = 12(x + -1) (40 + -4x) = 12(x + -1) Reorder the terms: 40 + -4x = 12(-1 + x) 40 + -4x = (-1 * 12 + x * 12) 40 + -4x = (-12 + 12x) Solving 40 + -4x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 40 + -4x + -12x = -12 + 12x + -12x Combine like terms: -4x + -12x = -16x 40 + -16x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 40 + -16x = -12 + 0 40 + -16x = -12 Add '-40' to each side of the equation. 40 + -40 + -16x = -12 + -40 Combine like terms: 40 + -40 = 0 0 + -16x = -12 + -40 -16x = -12 + -40 Combine like terms: -12 + -40 = -52 -16x = -52 Divide each side by '-16'. x = 3.25 Simplifying x = 3.25
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