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Simplifying 7 + 5(x + -8) = 9 + -7(x + -9) Reorder the terms: 7 + 5(-8 + x) = 9 + -7(x + -9) 7 + (-8 * 5 + x * 5) = 9 + -7(x + -9) 7 + (-40 + 5x) = 9 + -7(x + -9) Combine like terms: 7 + -40 = -33 -33 + 5x = 9 + -7(x + -9) Reorder the terms: -33 + 5x = 9 + -7(-9 + x) -33 + 5x = 9 + (-9 * -7 + x * -7) -33 + 5x = 9 + (63 + -7x) Combine like terms: 9 + 63 = 72 -33 + 5x = 72 + -7x Solving -33 + 5x = 72 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -33 + 5x + 7x = 72 + -7x + 7x Combine like terms: 5x + 7x = 12x -33 + 12x = 72 + -7x + 7x Combine like terms: -7x + 7x = 0 -33 + 12x = 72 + 0 -33 + 12x = 72 Add '33' to each side of the equation. -33 + 33 + 12x = 72 + 33 Combine like terms: -33 + 33 = 0 0 + 12x = 72 + 33 12x = 72 + 33 Combine like terms: 72 + 33 = 105 12x = 105 Divide each side by '12'. x = 8.75 Simplifying x = 8.75
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