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Simplifying 5(2x + -5) = 3(x + -4) Reorder the terms: 5(-5 + 2x) = 3(x + -4) (-5 * 5 + 2x * 5) = 3(x + -4) (-25 + 10x) = 3(x + -4) Reorder the terms: -25 + 10x = 3(-4 + x) -25 + 10x = (-4 * 3 + x * 3) -25 + 10x = (-12 + 3x) Solving -25 + 10x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -25 + 10x + -3x = -12 + 3x + -3x Combine like terms: 10x + -3x = 7x -25 + 7x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 7x = -12 + 0 -25 + 7x = -12 Add '25' to each side of the equation. -25 + 25 + 7x = -12 + 25 Combine like terms: -25 + 25 = 0 0 + 7x = -12 + 25 7x = -12 + 25 Combine like terms: -12 + 25 = 13 7x = 13 Divide each side by '7'. x = 1.857142857 Simplifying x = 1.857142857
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