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Simplifying 2(x + -5) = 3(x + 7) Reorder the terms: 2(-5 + x) = 3(x + 7) (-5 * 2 + x * 2) = 3(x + 7) (-10 + 2x) = 3(x + 7) Reorder the terms: -10 + 2x = 3(7 + x) -10 + 2x = (7 * 3 + x * 3) -10 + 2x = (21 + 3x) Solving -10 + 2x = 21 + 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. -10 + 2x + -3x = 21 + 3x + -3x Combine like terms: 2x + -3x = -1x -10 + -1x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -1x = 21 + 0 -10 + -1x = 21 Add '10' to each side of the equation. -10 + 10 + -1x = 21 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 21 + 10 -1x = 21 + 10 Combine like terms: 21 + 10 = 31 -1x = 31 Divide each side by '-1'. x = -31 Simplifying x = -31
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