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Simplifying 6 + -1(x + -3) = 2(x + 1) Reorder the terms: 6 + -1(-3 + x) = 2(x + 1) 6 + (-3 * -1 + x * -1) = 2(x + 1) 6 + (3 + -1x) = 2(x + 1) Combine like terms: 6 + 3 = 9 9 + -1x = 2(x + 1) Reorder the terms: 9 + -1x = 2(1 + x) 9 + -1x = (1 * 2 + x * 2) 9 + -1x = (2 + 2x) Solving 9 + -1x = 2 + 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. 9 + -1x + -2x = 2 + 2x + -2x Combine like terms: -1x + -2x = -3x 9 + -3x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -3x = 2 + 0 9 + -3x = 2 Add '-9' to each side of the equation. 9 + -9 + -3x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 2 + -9 -3x = 2 + -9 Combine like terms: 2 + -9 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333
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