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Simplifying 5(3x + 7) = 18 + -2x Reorder the terms: 5(7 + 3x) = 18 + -2x (7 * 5 + 3x * 5) = 18 + -2x (35 + 15x) = 18 + -2x Solving 35 + 15x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 35 + 15x + 2x = 18 + -2x + 2x Combine like terms: 15x + 2x = 17x 35 + 17x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 35 + 17x = 18 + 0 35 + 17x = 18 Add '-35' to each side of the equation. 35 + -35 + 17x = 18 + -35 Combine like terms: 35 + -35 = 0 0 + 17x = 18 + -35 17x = 18 + -35 Combine like terms: 18 + -35 = -17 17x = -17 Divide each side by '17'. x = -1 Simplifying x = -1
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