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Simplifying 3(x + 1) = 18 + -6(x + 1) Reorder the terms: 3(1 + x) = 18 + -6(x + 1) (1 * 3 + x * 3) = 18 + -6(x + 1) (3 + 3x) = 18 + -6(x + 1) Reorder the terms: 3 + 3x = 18 + -6(1 + x) 3 + 3x = 18 + (1 * -6 + x * -6) 3 + 3x = 18 + (-6 + -6x) Combine like terms: 18 + -6 = 12 3 + 3x = 12 + -6x Solving 3 + 3x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + 3x + 6x = 12 + -6x + 6x Combine like terms: 3x + 6x = 9x 3 + 9x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 9x = 12 + 0 3 + 9x = 12 Add '-3' to each side of the equation. 3 + -3 + 9x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = 12 + -3 9x = 12 + -3 Combine like terms: 12 + -3 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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