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Simplifying 5(3x + 4) + -2x = 2(x + 9) Reorder the terms: 5(4 + 3x) + -2x = 2(x + 9) (4 * 5 + 3x * 5) + -2x = 2(x + 9) (20 + 15x) + -2x = 2(x + 9) Combine like terms: 15x + -2x = 13x 20 + 13x = 2(x + 9) Reorder the terms: 20 + 13x = 2(9 + x) 20 + 13x = (9 * 2 + x * 2) 20 + 13x = (18 + 2x) Solving 20 + 13x = 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. 20 + 13x + -2x = 18 + 2x + -2x Combine like terms: 13x + -2x = 11x 20 + 11x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 11x = 18 + 0 20 + 11x = 18 Add '-20' to each side of the equation. 20 + -20 + 11x = 18 + -20 Combine like terms: 20 + -20 = 0 0 + 11x = 18 + -20 11x = 18 + -20 Combine like terms: 18 + -20 = -2 11x = -2 Divide each side by '11'. x = -0.1818181818 Simplifying x = -0.1818181818
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