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Simplifying 3 + -1(2x + -1) = 2(x + 1) + 6 Reorder the terms: 3 + -1(-1 + 2x) = 2(x + 1) + 6 3 + (-1 * -1 + 2x * -1) = 2(x + 1) + 6 3 + (1 + -2x) = 2(x + 1) + 6 Combine like terms: 3 + 1 = 4 4 + -2x = 2(x + 1) + 6 Reorder the terms: 4 + -2x = 2(1 + x) + 6 4 + -2x = (1 * 2 + x * 2) + 6 4 + -2x = (2 + 2x) + 6 Reorder the terms: 4 + -2x = 2 + 6 + 2x Combine like terms: 2 + 6 = 8 4 + -2x = 8 + 2x Solving 4 + -2x = 8 + 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. 4 + -2x + -2x = 8 + 2x + -2x Combine like terms: -2x + -2x = -4x 4 + -4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -4x = 8 + 0 4 + -4x = 8 Add '-4' to each side of the equation. 4 + -4 + -4x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 8 + -4 -4x = 8 + -4 Combine like terms: 8 + -4 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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