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Simplifying 2(x + 3) = 1 + 3(x + -1) Reorder the terms: 2(3 + x) = 1 + 3(x + -1) (3 * 2 + x * 2) = 1 + 3(x + -1) (6 + 2x) = 1 + 3(x + -1) Reorder the terms: 6 + 2x = 1 + 3(-1 + x) 6 + 2x = 1 + (-1 * 3 + x * 3) 6 + 2x = 1 + (-3 + 3x) Combine like terms: 1 + -3 = -2 6 + 2x = -2 + 3x Solving 6 + 2x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 2x + -3x = -2 + 3x + -3x Combine like terms: 2x + -3x = -1x 6 + -1x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -1x = -2 + 0 6 + -1x = -2 Add '-6' to each side of the equation. 6 + -6 + -1x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -2 + -6 -1x = -2 + -6 Combine like terms: -2 + -6 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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