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Simplifying 12 + -1(x + 8) = 5x + 3(x + 2) Reorder the terms: 12 + -1(8 + x) = 5x + 3(x + 2) 12 + (8 * -1 + x * -1) = 5x + 3(x + 2) 12 + (-8 + -1x) = 5x + 3(x + 2) Combine like terms: 12 + -8 = 4 4 + -1x = 5x + 3(x + 2) Reorder the terms: 4 + -1x = 5x + 3(2 + x) 4 + -1x = 5x + (2 * 3 + x * 3) 4 + -1x = 5x + (6 + 3x) Reorder the terms: 4 + -1x = 6 + 5x + 3x Combine like terms: 5x + 3x = 8x 4 + -1x = 6 + 8x Solving 4 + -1x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + -1x + -8x = 6 + 8x + -8x Combine like terms: -1x + -8x = -9x 4 + -9x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -9x = 6 + 0 4 + -9x = 6 Add '-4' to each side of the equation. 4 + -4 + -9x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 6 + -4 -9x = 6 + -4 Combine like terms: 6 + -4 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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