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Simplifying 4x + -1(x + -2) = 12 + 6(x + -1) Reorder the terms: 4x + -1(-2 + x) = 12 + 6(x + -1) 4x + (-2 * -1 + x * -1) = 12 + 6(x + -1) 4x + (2 + -1x) = 12 + 6(x + -1) Reorder the terms: 2 + 4x + -1x = 12 + 6(x + -1) Combine like terms: 4x + -1x = 3x 2 + 3x = 12 + 6(x + -1) Reorder the terms: 2 + 3x = 12 + 6(-1 + x) 2 + 3x = 12 + (-1 * 6 + x * 6) 2 + 3x = 12 + (-6 + 6x) Combine like terms: 12 + -6 = 6 2 + 3x = 6 + 6x Solving 2 + 3x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 3x + -6x = 6 + 6x + -6x Combine like terms: 3x + -6x = -3x 2 + -3x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -3x = 6 + 0 2 + -3x = 6 Add '-2' to each side of the equation. 2 + -2 + -3x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 6 + -2 -3x = 6 + -2 Combine like terms: 6 + -2 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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