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Simplifying 3(2x + -4) = 5(2x + 5) Reorder the terms: 3(-4 + 2x) = 5(2x + 5) (-4 * 3 + 2x * 3) = 5(2x + 5) (-12 + 6x) = 5(2x + 5) Reorder the terms: -12 + 6x = 5(5 + 2x) -12 + 6x = (5 * 5 + 2x * 5) -12 + 6x = (25 + 10x) Solving -12 + 6x = 25 + 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. -12 + 6x + -10x = 25 + 10x + -10x Combine like terms: 6x + -10x = -4x -12 + -4x = 25 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -4x = 25 + 0 -12 + -4x = 25 Add '12' to each side of the equation. -12 + 12 + -4x = 25 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 25 + 12 -4x = 25 + 12 Combine like terms: 25 + 12 = 37 -4x = 37 Divide each side by '-4'. x = -9.25 Simplifying x = -9.25
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