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Simplifying 5(x + -7) + 12 = 3(x + -5) Reorder the terms: 5(-7 + x) + 12 = 3(x + -5) (-7 * 5 + x * 5) + 12 = 3(x + -5) (-35 + 5x) + 12 = 3(x + -5) Reorder the terms: -35 + 12 + 5x = 3(x + -5) Combine like terms: -35 + 12 = -23 -23 + 5x = 3(x + -5) Reorder the terms: -23 + 5x = 3(-5 + x) -23 + 5x = (-5 * 3 + x * 3) -23 + 5x = (-15 + 3x) Solving -23 + 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. -23 + 5x + -3x = -15 + 3x + -3x Combine like terms: 5x + -3x = 2x -23 + 2x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -23 + 2x = -15 + 0 -23 + 2x = -15 Add '23' to each side of the equation. -23 + 23 + 2x = -15 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = -15 + 23 2x = -15 + 23 Combine like terms: -15 + 23 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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