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Simplifying 3(x + 5) + -4(x + 1) = 18 Reorder the terms: 3(5 + x) + -4(x + 1) = 18 (5 * 3 + x * 3) + -4(x + 1) = 18 (15 + 3x) + -4(x + 1) = 18 Reorder the terms: 15 + 3x + -4(1 + x) = 18 15 + 3x + (1 * -4 + x * -4) = 18 15 + 3x + (-4 + -4x) = 18 Reorder the terms: 15 + -4 + 3x + -4x = 18 Combine like terms: 15 + -4 = 11 11 + 3x + -4x = 18 Combine like terms: 3x + -4x = -1x 11 + -1x = 18 Solving 11 + -1x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 18 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 18 + -11 -1x = 18 + -11 Combine like terms: 18 + -11 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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