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Simplifying 5(3x + 9) + -2x = 15(x + -5) Reorder the terms: 5(9 + 3x) + -2x = 15(x + -5) (9 * 5 + 3x * 5) + -2x = 15(x + -5) (45 + 15x) + -2x = 15(x + -5) Combine like terms: 15x + -2x = 13x 45 + 13x = 15(x + -5) Reorder the terms: 45 + 13x = 15(-5 + x) 45 + 13x = (-5 * 15 + x * 15) 45 + 13x = (-75 + 15x) Solving 45 + 13x = -75 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 45 + 13x + -15x = -75 + 15x + -15x Combine like terms: 13x + -15x = -2x 45 + -2x = -75 + 15x + -15x Combine like terms: 15x + -15x = 0 45 + -2x = -75 + 0 45 + -2x = -75 Add '-45' to each side of the equation. 45 + -45 + -2x = -75 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = -75 + -45 -2x = -75 + -45 Combine like terms: -75 + -45 = -120 -2x = -120 Divide each side by '-2'. x = 60 Simplifying x = 60
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