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Simplifying (5x + -3) + -1(3x + -4) = 18 Reorder the terms: (-3 + 5x) + -1(3x + -4) = 18 Remove parenthesis around (-3 + 5x) -3 + 5x + -1(3x + -4) = 18 Reorder the terms: -3 + 5x + -1(-4 + 3x) = 18 -3 + 5x + (-4 * -1 + 3x * -1) = 18 -3 + 5x + (4 + -3x) = 18 Reorder the terms: -3 + 4 + 5x + -3x = 18 Combine like terms: -3 + 4 = 1 1 + 5x + -3x = 18 Combine like terms: 5x + -3x = 2x 1 + 2x = 18 Solving 1 + 2x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 18 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 18 + -1 2x = 18 + -1 Combine like terms: 18 + -1 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5
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