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Simplifying 5(3x + 4) + -9 = -2(x + -8) Reorder the terms: 5(4 + 3x) + -9 = -2(x + -8) (4 * 5 + 3x * 5) + -9 = -2(x + -8) (20 + 15x) + -9 = -2(x + -8) Reorder the terms: 20 + -9 + 15x = -2(x + -8) Combine like terms: 20 + -9 = 11 11 + 15x = -2(x + -8) Reorder the terms: 11 + 15x = -2(-8 + x) 11 + 15x = (-8 * -2 + x * -2) 11 + 15x = (16 + -2x) Solving 11 + 15x = 16 + -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. 11 + 15x + 2x = 16 + -2x + 2x Combine like terms: 15x + 2x = 17x 11 + 17x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 11 + 17x = 16 + 0 11 + 17x = 16 Add '-11' to each side of the equation. 11 + -11 + 17x = 16 + -11 Combine like terms: 11 + -11 = 0 0 + 17x = 16 + -11 17x = 16 + -11 Combine like terms: 16 + -11 = 5 17x = 5 Divide each side by '17'. x = 0.2941176471 Simplifying x = 0.2941176471
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