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Simplifying -3(4x + -5) = 4(1 + -4x) + 12 Reorder the terms: -3(-5 + 4x) = 4(1 + -4x) + 12 (-5 * -3 + 4x * -3) = 4(1 + -4x) + 12 (15 + -12x) = 4(1 + -4x) + 12 15 + -12x = (1 * 4 + -4x * 4) + 12 15 + -12x = (4 + -16x) + 12 Reorder the terms: 15 + -12x = 4 + 12 + -16x Combine like terms: 4 + 12 = 16 15 + -12x = 16 + -16x Solving 15 + -12x = 16 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 15 + -12x + 16x = 16 + -16x + 16x Combine like terms: -12x + 16x = 4x 15 + 4x = 16 + -16x + 16x Combine like terms: -16x + 16x = 0 15 + 4x = 16 + 0 15 + 4x = 16 Add '-15' to each side of the equation. 15 + -15 + 4x = 16 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 16 + -15 4x = 16 + -15 Combine like terms: 16 + -15 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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