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Simplifying 5(3x + 9) + -2 = 15 + -2(x + -5) Reorder the terms: 5(9 + 3x) + -2 = 15 + -2(x + -5) (9 * 5 + 3x * 5) + -2 = 15 + -2(x + -5) (45 + 15x) + -2 = 15 + -2(x + -5) Reorder the terms: 45 + -2 + 15x = 15 + -2(x + -5) Combine like terms: 45 + -2 = 43 43 + 15x = 15 + -2(x + -5) Reorder the terms: 43 + 15x = 15 + -2(-5 + x) 43 + 15x = 15 + (-5 * -2 + x * -2) 43 + 15x = 15 + (10 + -2x) Combine like terms: 15 + 10 = 25 43 + 15x = 25 + -2x Solving 43 + 15x = 25 + -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. 43 + 15x + 2x = 25 + -2x + 2x Combine like terms: 15x + 2x = 17x 43 + 17x = 25 + -2x + 2x Combine like terms: -2x + 2x = 0 43 + 17x = 25 + 0 43 + 17x = 25 Add '-43' to each side of the equation. 43 + -43 + 17x = 25 + -43 Combine like terms: 43 + -43 = 0 0 + 17x = 25 + -43 17x = 25 + -43 Combine like terms: 25 + -43 = -18 17x = -18 Divide each side by '17'. x = -1.058823529 Simplifying x = -1.058823529
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