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Simplifying 7 + 5(x + -8) = 7 + -9(x + -9) Reorder the terms: 7 + 5(-8 + x) = 7 + -9(x + -9) 7 + (-8 * 5 + x * 5) = 7 + -9(x + -9) 7 + (-40 + 5x) = 7 + -9(x + -9) Combine like terms: 7 + -40 = -33 -33 + 5x = 7 + -9(x + -9) Reorder the terms: -33 + 5x = 7 + -9(-9 + x) -33 + 5x = 7 + (-9 * -9 + x * -9) -33 + 5x = 7 + (81 + -9x) Combine like terms: 7 + 81 = 88 -33 + 5x = 88 + -9x Solving -33 + 5x = 88 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -33 + 5x + 9x = 88 + -9x + 9x Combine like terms: 5x + 9x = 14x -33 + 14x = 88 + -9x + 9x Combine like terms: -9x + 9x = 0 -33 + 14x = 88 + 0 -33 + 14x = 88 Add '33' to each side of the equation. -33 + 33 + 14x = 88 + 33 Combine like terms: -33 + 33 = 0 0 + 14x = 88 + 33 14x = 88 + 33 Combine like terms: 88 + 33 = 121 14x = 121 Divide each side by '14'. x = 8.642857143 Simplifying x = 8.642857143
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