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Simplifying 2(5x + -4) = 3(3x + 5) Reorder the terms: 2(-4 + 5x) = 3(3x + 5) (-4 * 2 + 5x * 2) = 3(3x + 5) (-8 + 10x) = 3(3x + 5) Reorder the terms: -8 + 10x = 3(5 + 3x) -8 + 10x = (5 * 3 + 3x * 3) -8 + 10x = (15 + 9x) Solving -8 + 10x = 15 + 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. -8 + 10x + -9x = 15 + 9x + -9x Combine like terms: 10x + -9x = 1x -8 + 1x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + 1x = 15 + 0 -8 + 1x = 15 Add '8' to each side of the equation. -8 + 8 + 1x = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 15 + 8 1x = 15 + 8 Combine like terms: 15 + 8 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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