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Simplifying 2(4x + -3) = 5(2x + -5) Reorder the terms: 2(-3 + 4x) = 5(2x + -5) (-3 * 2 + 4x * 2) = 5(2x + -5) (-6 + 8x) = 5(2x + -5) Reorder the terms: -6 + 8x = 5(-5 + 2x) -6 + 8x = (-5 * 5 + 2x * 5) -6 + 8x = (-25 + 10x) Solving -6 + 8x = -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. -6 + 8x + -10x = -25 + 10x + -10x Combine like terms: 8x + -10x = -2x -6 + -2x = -25 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -2x = -25 + 0 -6 + -2x = -25 Add '6' to each side of the equation. -6 + 6 + -2x = -25 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -25 + 6 -2x = -25 + 6 Combine like terms: -25 + 6 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5
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