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Simplifying 3(x + 1) = 7 + -3(x + -2) Reorder the terms: 3(1 + x) = 7 + -3(x + -2) (1 * 3 + x * 3) = 7 + -3(x + -2) (3 + 3x) = 7 + -3(x + -2) Reorder the terms: 3 + 3x = 7 + -3(-2 + x) 3 + 3x = 7 + (-2 * -3 + x * -3) 3 + 3x = 7 + (6 + -3x) Combine like terms: 7 + 6 = 13 3 + 3x = 13 + -3x Solving 3 + 3x = 13 + -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. 3 + 3x + 3x = 13 + -3x + 3x Combine like terms: 3x + 3x = 6x 3 + 6x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 6x = 13 + 0 3 + 6x = 13 Add '-3' to each side of the equation. 3 + -3 + 6x = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 13 + -3 6x = 13 + -3 Combine like terms: 13 + -3 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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