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Simplifying 3x + -1(12 + -1x) = 5 + 2(x + 1) + -1 3x + (12 * -1 + -1x * -1) = 5 + 2(x + 1) + -1 3x + (-12 + 1x) = 5 + 2(x + 1) + -1 Reorder the terms: -12 + 3x + 1x = 5 + 2(x + 1) + -1 Combine like terms: 3x + 1x = 4x -12 + 4x = 5 + 2(x + 1) + -1 Reorder the terms: -12 + 4x = 5 + 2(1 + x) + -1 -12 + 4x = 5 + (1 * 2 + x * 2) + -1 -12 + 4x = 5 + (2 + 2x) + -1 Reorder the terms: -12 + 4x = 5 + 2 + -1 + 2x Combine like terms: 5 + 2 = 7 -12 + 4x = 7 + -1 + 2x Combine like terms: 7 + -1 = 6 -12 + 4x = 6 + 2x Solving -12 + 4x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 4x + -2x = 6 + 2x + -2x Combine like terms: 4x + -2x = 2x -12 + 2x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 2x = 6 + 0 -12 + 2x = 6 Add '12' to each side of the equation. -12 + 12 + 2x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 6 + 12 2x = 6 + 12 Combine like terms: 6 + 12 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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