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Simplifying 0.5(6 + -8x) = 12 + -1(3x + 7) (6 * 0.5 + -8x * 0.5) = 12 + -1(3x + 7) (3 + -4x) = 12 + -1(3x + 7) Reorder the terms: 3 + -4x = 12 + -1(7 + 3x) 3 + -4x = 12 + (7 * -1 + 3x * -1) 3 + -4x = 12 + (-7 + -3x) Combine like terms: 12 + -7 = 5 3 + -4x = 5 + -3x Solving 3 + -4x = 5 + -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. 3 + -4x + 3x = 5 + -3x + 3x Combine like terms: -4x + 3x = -1x 3 + -1x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + -1x = 5 + 0 3 + -1x = 5 Add '-3' to each side of the equation. 3 + -3 + -1x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 5 + -3 -1x = 5 + -3 Combine like terms: 5 + -3 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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