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Simplifying 2(x + -7) = 5(x + -4) Reorder the terms: 2(-7 + x) = 5(x + -4) (-7 * 2 + x * 2) = 5(x + -4) (-14 + 2x) = 5(x + -4) Reorder the terms: -14 + 2x = 5(-4 + x) -14 + 2x = (-4 * 5 + x * 5) -14 + 2x = (-20 + 5x) Solving -14 + 2x = -20 + 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. -14 + 2x + -5x = -20 + 5x + -5x Combine like terms: 2x + -5x = -3x -14 + -3x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -3x = -20 + 0 -14 + -3x = -20 Add '14' to each side of the equation. -14 + 14 + -3x = -20 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = -20 + 14 -3x = -20 + 14 Combine like terms: -20 + 14 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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