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Simplifying 4(4 + -1x) = 3(2x + 12) (4 * 4 + -1x * 4) = 3(2x + 12) (16 + -4x) = 3(2x + 12) Reorder the terms: 16 + -4x = 3(12 + 2x) 16 + -4x = (12 * 3 + 2x * 3) 16 + -4x = (36 + 6x) Solving 16 + -4x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 16 + -4x + -6x = 36 + 6x + -6x Combine like terms: -4x + -6x = -10x 16 + -10x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + -10x = 36 + 0 16 + -10x = 36 Add '-16' to each side of the equation. 16 + -16 + -10x = 36 + -16 Combine like terms: 16 + -16 = 0 0 + -10x = 36 + -16 -10x = 36 + -16 Combine like terms: 36 + -16 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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