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Simplifying x + 2(x + -2) = 5(x + -5) + 39 Reorder the terms: x + 2(-2 + x) = 5(x + -5) + 39 x + (-2 * 2 + x * 2) = 5(x + -5) + 39 x + (-4 + 2x) = 5(x + -5) + 39 Reorder the terms: -4 + x + 2x = 5(x + -5) + 39 Combine like terms: x + 2x = 3x -4 + 3x = 5(x + -5) + 39 Reorder the terms: -4 + 3x = 5(-5 + x) + 39 -4 + 3x = (-5 * 5 + x * 5) + 39 -4 + 3x = (-25 + 5x) + 39 Reorder the terms: -4 + 3x = -25 + 39 + 5x Combine like terms: -25 + 39 = 14 -4 + 3x = 14 + 5x Solving -4 + 3x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 3x + -5x = 14 + 5x + -5x Combine like terms: 3x + -5x = -2x -4 + -2x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -2x = 14 + 0 -4 + -2x = 14 Add '4' to each side of the equation. -4 + 4 + -2x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 14 + 4 -2x = 14 + 4 Combine like terms: 14 + 4 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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