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Simplifying 4(2x + 12) = 3(-1x + 5) Reorder the terms: 4(12 + 2x) = 3(-1x + 5) (12 * 4 + 2x * 4) = 3(-1x + 5) (48 + 8x) = 3(-1x + 5) Reorder the terms: 48 + 8x = 3(5 + -1x) 48 + 8x = (5 * 3 + -1x * 3) 48 + 8x = (15 + -3x) Solving 48 + 8x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 48 + 8x + 3x = 15 + -3x + 3x Combine like terms: 8x + 3x = 11x 48 + 11x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 48 + 11x = 15 + 0 48 + 11x = 15 Add '-48' to each side of the equation. 48 + -48 + 11x = 15 + -48 Combine like terms: 48 + -48 = 0 0 + 11x = 15 + -48 11x = 15 + -48 Combine like terms: 15 + -48 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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