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Simplifying 5(x + -7) + 10 = 3(x + -5) Reorder the terms: 5(-7 + x) + 10 = 3(x + -5) (-7 * 5 + x * 5) + 10 = 3(x + -5) (-35 + 5x) + 10 = 3(x + -5) Reorder the terms: -35 + 10 + 5x = 3(x + -5) Combine like terms: -35 + 10 = -25 -25 + 5x = 3(x + -5) Reorder the terms: -25 + 5x = 3(-5 + x) -25 + 5x = (-5 * 3 + x * 3) -25 + 5x = (-15 + 3x) Solving -25 + 5x = -15 + 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 + 5x + -3x = -15 + 3x + -3x Combine like terms: 5x + -3x = 2x -25 + 2x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 2x = -15 + 0 -25 + 2x = -15 Add '25' to each side of the equation. -25 + 25 + 2x = -15 + 25 Combine like terms: -25 + 25 = 0 0 + 2x = -15 + 25 2x = -15 + 25 Combine like terms: -15 + 25 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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