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Simplifying 5(x + 4) = 3(-2x + 9) Reorder the terms: 5(4 + x) = 3(-2x + 9) (4 * 5 + x * 5) = 3(-2x + 9) (20 + 5x) = 3(-2x + 9) Reorder the terms: 20 + 5x = 3(9 + -2x) 20 + 5x = (9 * 3 + -2x * 3) 20 + 5x = (27 + -6x) Solving 20 + 5x = 27 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 20 + 5x + 6x = 27 + -6x + 6x Combine like terms: 5x + 6x = 11x 20 + 11x = 27 + -6x + 6x Combine like terms: -6x + 6x = 0 20 + 11x = 27 + 0 20 + 11x = 27 Add '-20' to each side of the equation. 20 + -20 + 11x = 27 + -20 Combine like terms: 20 + -20 = 0 0 + 11x = 27 + -20 11x = 27 + -20 Combine like terms: 27 + -20 = 7 11x = 7 Divide each side by '11'. x = 0.6363636364 Simplifying x = 0.6363636364
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