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Simplifying 5(x + -5) + 5 = 2(x + -7) Reorder the terms: 5(-5 + x) + 5 = 2(x + -7) (-5 * 5 + x * 5) + 5 = 2(x + -7) (-25 + 5x) + 5 = 2(x + -7) Reorder the terms: -25 + 5 + 5x = 2(x + -7) Combine like terms: -25 + 5 = -20 -20 + 5x = 2(x + -7) Reorder the terms: -20 + 5x = 2(-7 + x) -20 + 5x = (-7 * 2 + x * 2) -20 + 5x = (-14 + 2x) Solving -20 + 5x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 5x + -2x = -14 + 2x + -2x Combine like terms: 5x + -2x = 3x -20 + 3x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 3x = -14 + 0 -20 + 3x = -14 Add '20' to each side of the equation. -20 + 20 + 3x = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = -14 + 20 3x = -14 + 20 Combine like terms: -14 + 20 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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