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Simplifying 5(x + -7) = 3(x + -2) + 2 Reorder the terms: 5(-7 + x) = 3(x + -2) + 2 (-7 * 5 + x * 5) = 3(x + -2) + 2 (-35 + 5x) = 3(x + -2) + 2 Reorder the terms: -35 + 5x = 3(-2 + x) + 2 -35 + 5x = (-2 * 3 + x * 3) + 2 -35 + 5x = (-6 + 3x) + 2 Reorder the terms: -35 + 5x = -6 + 2 + 3x Combine like terms: -6 + 2 = -4 -35 + 5x = -4 + 3x Solving -35 + 5x = -4 + 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. -35 + 5x + -3x = -4 + 3x + -3x Combine like terms: 5x + -3x = 2x -35 + 2x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 2x = -4 + 0 -35 + 2x = -4 Add '35' to each side of the equation. -35 + 35 + 2x = -4 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = -4 + 35 2x = -4 + 35 Combine like terms: -4 + 35 = 31 2x = 31 Divide each side by '2'. x = 15.5 Simplifying x = 15.5
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