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Simplifying -1(x + 3) + 6(x + 1) = 18 Reorder the terms: -1(3 + x) + 6(x + 1) = 18 (3 * -1 + x * -1) + 6(x + 1) = 18 (-3 + -1x) + 6(x + 1) = 18 Reorder the terms: -3 + -1x + 6(1 + x) = 18 -3 + -1x + (1 * 6 + x * 6) = 18 -3 + -1x + (6 + 6x) = 18 Reorder the terms: -3 + 6 + -1x + 6x = 18 Combine like terms: -3 + 6 = 3 3 + -1x + 6x = 18 Combine like terms: -1x + 6x = 5x 3 + 5x = 18 Solving 3 + 5x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 18 + -3 5x = 18 + -3 Combine like terms: 18 + -3 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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