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Simplifying 5(x + -7) + 7 = 2(x + -5) Reorder the terms: 5(-7 + x) + 7 = 2(x + -5) (-7 * 5 + x * 5) + 7 = 2(x + -5) (-35 + 5x) + 7 = 2(x + -5) Reorder the terms: -35 + 7 + 5x = 2(x + -5) Combine like terms: -35 + 7 = -28 -28 + 5x = 2(x + -5) Reorder the terms: -28 + 5x = 2(-5 + x) -28 + 5x = (-5 * 2 + x * 2) -28 + 5x = (-10 + 2x) Solving -28 + 5x = -10 + 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. -28 + 5x + -2x = -10 + 2x + -2x Combine like terms: 5x + -2x = 3x -28 + 3x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 3x = -10 + 0 -28 + 3x = -10 Add '28' to each side of the equation. -28 + 28 + 3x = -10 + 28 Combine like terms: -28 + 28 = 0 0 + 3x = -10 + 28 3x = -10 + 28 Combine like terms: -10 + 28 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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