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