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Simplifying 5(3x + 2) = 18 + -2x Reorder the terms: 5(2 + 3x) = 18 + -2x (2 * 5 + 3x * 5) = 18 + -2x (10 + 15x) = 18 + -2x Solving 10 + 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. 10 + 15x + 2x = 18 + -2x + 2x Combine like terms: 15x + 2x = 17x 10 + 17x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 17x = 18 + 0 10 + 17x = 18 Add '-10' to each side of the equation. 10 + -10 + 17x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 17x = 18 + -10 17x = 18 + -10 Combine like terms: 18 + -10 = 8 17x = 8 Divide each side by '17'. x = 0.4705882353 Simplifying x = 0.4705882353
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