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Simplifying 8 + -1(12 + -1x) = 1 + 3(x + 3) 8 + (12 * -1 + -1x * -1) = 1 + 3(x + 3) 8 + (-12 + 1x) = 1 + 3(x + 3) Combine like terms: 8 + -12 = -4 -4 + 1x = 1 + 3(x + 3) Reorder the terms: -4 + 1x = 1 + 3(3 + x) -4 + 1x = 1 + (3 * 3 + x * 3) -4 + 1x = 1 + (9 + 3x) Combine like terms: 1 + 9 = 10 -4 + 1x = 10 + 3x Solving -4 + 1x = 10 + 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. -4 + 1x + -3x = 10 + 3x + -3x Combine like terms: 1x + -3x = -2x -4 + -2x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -2x = 10 + 0 -4 + -2x = 10 Add '4' to each side of the equation. -4 + 4 + -2x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 10 + 4 -2x = 10 + 4 Combine like terms: 10 + 4 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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