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Simplifying 8(12 + -1x) = 3(x + 21) (12 * 8 + -1x * 8) = 3(x + 21) (96 + -8x) = 3(x + 21) Reorder the terms: 96 + -8x = 3(21 + x) 96 + -8x = (21 * 3 + x * 3) 96 + -8x = (63 + 3x) Solving 96 + -8x = 63 + 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. 96 + -8x + -3x = 63 + 3x + -3x Combine like terms: -8x + -3x = -11x 96 + -11x = 63 + 3x + -3x Combine like terms: 3x + -3x = 0 96 + -11x = 63 + 0 96 + -11x = 63 Add '-96' to each side of the equation. 96 + -96 + -11x = 63 + -96 Combine like terms: 96 + -96 = 0 0 + -11x = 63 + -96 -11x = 63 + -96 Combine like terms: 63 + -96 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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