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Simplifying 4(2x + 9) = 5(-2x + 3) Reorder the terms: 4(9 + 2x) = 5(-2x + 3) (9 * 4 + 2x * 4) = 5(-2x + 3) (36 + 8x) = 5(-2x + 3) Reorder the terms: 36 + 8x = 5(3 + -2x) 36 + 8x = (3 * 5 + -2x * 5) 36 + 8x = (15 + -10x) Solving 36 + 8x = 15 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 36 + 8x + 10x = 15 + -10x + 10x Combine like terms: 8x + 10x = 18x 36 + 18x = 15 + -10x + 10x Combine like terms: -10x + 10x = 0 36 + 18x = 15 + 0 36 + 18x = 15 Add '-36' to each side of the equation. 36 + -36 + 18x = 15 + -36 Combine like terms: 36 + -36 = 0 0 + 18x = 15 + -36 18x = 15 + -36 Combine like terms: 15 + -36 = -21 18x = -21 Divide each side by '18'. x = -1.166666667 Simplifying x = -1.166666667
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