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Simplifying 9(x + 4) = 5(2x + -3) Reorder the terms: 9(4 + x) = 5(2x + -3) (4 * 9 + x * 9) = 5(2x + -3) (36 + 9x) = 5(2x + -3) Reorder the terms: 36 + 9x = 5(-3 + 2x) 36 + 9x = (-3 * 5 + 2x * 5) 36 + 9x = (-15 + 10x) Solving 36 + 9x = -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 + 9x + -10x = -15 + 10x + -10x Combine like terms: 9x + -10x = -1x 36 + -1x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 36 + -1x = -15 + 0 36 + -1x = -15 Add '-36' to each side of the equation. 36 + -36 + -1x = -15 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = -15 + -36 -1x = -15 + -36 Combine like terms: -15 + -36 = -51 -1x = -51 Divide each side by '-1'. x = 51 Simplifying x = 51
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