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Simplifying 9 + 2(x + -3) + -1(x + -3) = 12 + -3(x + -8) Reorder the terms: 9 + 2(-3 + x) + -1(x + -3) = 12 + -3(x + -8) 9 + (-3 * 2 + x * 2) + -1(x + -3) = 12 + -3(x + -8) 9 + (-6 + 2x) + -1(x + -3) = 12 + -3(x + -8) Reorder the terms: 9 + -6 + 2x + -1(-3 + x) = 12 + -3(x + -8) 9 + -6 + 2x + (-3 * -1 + x * -1) = 12 + -3(x + -8) 9 + -6 + 2x + (3 + -1x) = 12 + -3(x + -8) Reorder the terms: 9 + -6 + 3 + 2x + -1x = 12 + -3(x + -8) Combine like terms: 9 + -6 = 3 3 + 3 + 2x + -1x = 12 + -3(x + -8) Combine like terms: 3 + 3 = 6 6 + 2x + -1x = 12 + -3(x + -8) Combine like terms: 2x + -1x = 1x 6 + 1x = 12 + -3(x + -8) Reorder the terms: 6 + 1x = 12 + -3(-8 + x) 6 + 1x = 12 + (-8 * -3 + x * -3) 6 + 1x = 12 + (24 + -3x) Combine like terms: 12 + 24 = 36 6 + 1x = 36 + -3x Solving 6 + 1x = 36 + -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. 6 + 1x + 3x = 36 + -3x + 3x Combine like terms: 1x + 3x = 4x 6 + 4x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 4x = 36 + 0 6 + 4x = 36 Add '-6' to each side of the equation. 6 + -6 + 4x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 36 + -6 4x = 36 + -6 Combine like terms: 36 + -6 = 30 4x = 30 Divide each side by '4'. x = 7.5 Simplifying x = 7.5
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