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Simplifying -8(3x + -4) = 8(5x + -12) Reorder the terms: -8(-4 + 3x) = 8(5x + -12) (-4 * -8 + 3x * -8) = 8(5x + -12) (32 + -24x) = 8(5x + -12) Reorder the terms: 32 + -24x = 8(-12 + 5x) 32 + -24x = (-12 * 8 + 5x * 8) 32 + -24x = (-96 + 40x) Solving 32 + -24x = -96 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 32 + -24x + -40x = -96 + 40x + -40x Combine like terms: -24x + -40x = -64x 32 + -64x = -96 + 40x + -40x Combine like terms: 40x + -40x = 0 32 + -64x = -96 + 0 32 + -64x = -96 Add '-32' to each side of the equation. 32 + -32 + -64x = -96 + -32 Combine like terms: 32 + -32 = 0 0 + -64x = -96 + -32 -64x = -96 + -32 Combine like terms: -96 + -32 = -128 -64x = -128 Divide each side by '-64'. x = 2 Simplifying x = 2
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