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Simplifying 7(x + -8) + 27 = 5(x + -5) Reorder the terms: 7(-8 + x) + 27 = 5(x + -5) (-8 * 7 + x * 7) + 27 = 5(x + -5) (-56 + 7x) + 27 = 5(x + -5) Reorder the terms: -56 + 27 + 7x = 5(x + -5) Combine like terms: -56 + 27 = -29 -29 + 7x = 5(x + -5) Reorder the terms: -29 + 7x = 5(-5 + x) -29 + 7x = (-5 * 5 + x * 5) -29 + 7x = (-25 + 5x) Solving -29 + 7x = -25 + 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. -29 + 7x + -5x = -25 + 5x + -5x Combine like terms: 7x + -5x = 2x -29 + 2x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -29 + 2x = -25 + 0 -29 + 2x = -25 Add '29' to each side of the equation. -29 + 29 + 2x = -25 + 29 Combine like terms: -29 + 29 = 0 0 + 2x = -25 + 29 2x = -25 + 29 Combine like terms: -25 + 29 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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