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Simplifying 5(x + -4) + -7 = -2(x + -5) Reorder the terms: 5(-4 + x) + -7 = -2(x + -5) (-4 * 5 + x * 5) + -7 = -2(x + -5) (-20 + 5x) + -7 = -2(x + -5) Reorder the terms: -20 + -7 + 5x = -2(x + -5) Combine like terms: -20 + -7 = -27 -27 + 5x = -2(x + -5) Reorder the terms: -27 + 5x = -2(-5 + x) -27 + 5x = (-5 * -2 + x * -2) -27 + 5x = (10 + -2x) Solving -27 + 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. -27 + 5x + 2x = 10 + -2x + 2x Combine like terms: 5x + 2x = 7x -27 + 7x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -27 + 7x = 10 + 0 -27 + 7x = 10 Add '27' to each side of the equation. -27 + 27 + 7x = 10 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = 10 + 27 7x = 10 + 27 Combine like terms: 10 + 27 = 37 7x = 37 Divide each side by '7'. x = 5.285714286 Simplifying x = 5.285714286
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