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Simplifying x + 2 + -1(3x + 1) = 12 + -4(x + -2) Reorder the terms: x + 2 + -1(1 + 3x) = 12 + -4(x + -2) x + 2 + (1 * -1 + 3x * -1) = 12 + -4(x + -2) x + 2 + (-1 + -3x) = 12 + -4(x + -2) Reorder the terms: 2 + -1 + x + -3x = 12 + -4(x + -2) Combine like terms: 2 + -1 = 1 1 + x + -3x = 12 + -4(x + -2) Combine like terms: x + -3x = -2x 1 + -2x = 12 + -4(x + -2) Reorder the terms: 1 + -2x = 12 + -4(-2 + x) 1 + -2x = 12 + (-2 * -4 + x * -4) 1 + -2x = 12 + (8 + -4x) Combine like terms: 12 + 8 = 20 1 + -2x = 20 + -4x Solving 1 + -2x = 20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + -2x + 4x = 20 + -4x + 4x Combine like terms: -2x + 4x = 2x 1 + 2x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 2x = 20 + 0 1 + 2x = 20 Add '-1' to each side of the equation. 1 + -1 + 2x = 20 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 20 + -1 2x = 20 + -1 Combine like terms: 20 + -1 = 19 2x = 19 Divide each side by '2'. x = 9.5 Simplifying x = 9.5
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