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Simplifying 7(x + -8) + 23 = 5(x + -5) Reorder the terms: 7(-8 + x) + 23 = 5(x + -5) (-8 * 7 + x * 7) + 23 = 5(x + -5) (-56 + 7x) + 23 = 5(x + -5) Reorder the terms: -56 + 23 + 7x = 5(x + -5) Combine like terms: -56 + 23 = -33 -33 + 7x = 5(x + -5) Reorder the terms: -33 + 7x = 5(-5 + x) -33 + 7x = (-5 * 5 + x * 5) -33 + 7x = (-25 + 5x) Solving -33 + 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. -33 + 7x + -5x = -25 + 5x + -5x Combine like terms: 7x + -5x = 2x -33 + 2x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -33 + 2x = -25 + 0 -33 + 2x = -25 Add '33' to each side of the equation. -33 + 33 + 2x = -25 + 33 Combine like terms: -33 + 33 = 0 0 + 2x = -25 + 33 2x = -25 + 33 Combine like terms: -25 + 33 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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