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Simplifying 3(7 + -2x) = 8 + -1(x + 12) (7 * 3 + -2x * 3) = 8 + -1(x + 12) (21 + -6x) = 8 + -1(x + 12) Reorder the terms: 21 + -6x = 8 + -1(12 + x) 21 + -6x = 8 + (12 * -1 + x * -1) 21 + -6x = 8 + (-12 + -1x) Combine like terms: 8 + -12 = -4 21 + -6x = -4 + -1x Solving 21 + -6x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 21 + -6x + x = -4 + -1x + x Combine like terms: -6x + x = -5x 21 + -5x = -4 + -1x + x Combine like terms: -1x + x = 0 21 + -5x = -4 + 0 21 + -5x = -4 Add '-21' to each side of the equation. 21 + -21 + -5x = -4 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = -4 + -21 -5x = -4 + -21 Combine like terms: -4 + -21 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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