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Simplifying 3 + -1(x + 1) = 2x + -1(-2x + 6) Reorder the terms: 3 + -1(1 + x) = 2x + -1(-2x + 6) 3 + (1 * -1 + x * -1) = 2x + -1(-2x + 6) 3 + (-1 + -1x) = 2x + -1(-2x + 6) Combine like terms: 3 + -1 = 2 2 + -1x = 2x + -1(-2x + 6) Reorder the terms: 2 + -1x = 2x + -1(6 + -2x) 2 + -1x = 2x + (6 * -1 + -2x * -1) 2 + -1x = 2x + (-6 + 2x) Reorder the terms: 2 + -1x = -6 + 2x + 2x Combine like terms: 2x + 2x = 4x 2 + -1x = -6 + 4x Solving 2 + -1x = -6 + 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. 2 + -1x + -4x = -6 + 4x + -4x Combine like terms: -1x + -4x = -5x 2 + -5x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -5x = -6 + 0 2 + -5x = -6 Add '-2' to each side of the equation. 2 + -2 + -5x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = -6 + -2 -5x = -6 + -2 Combine like terms: -6 + -2 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6
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