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Simplifying 5x + 5(x + -8) = 7(x + -9) Reorder the terms: 5x + 5(-8 + x) = 7(x + -9) 5x + (-8 * 5 + x * 5) = 7(x + -9) 5x + (-40 + 5x) = 7(x + -9) Reorder the terms: -40 + 5x + 5x = 7(x + -9) Combine like terms: 5x + 5x = 10x -40 + 10x = 7(x + -9) Reorder the terms: -40 + 10x = 7(-9 + x) -40 + 10x = (-9 * 7 + x * 7) -40 + 10x = (-63 + 7x) Solving -40 + 10x = -63 + 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. -40 + 10x + -7x = -63 + 7x + -7x Combine like terms: 10x + -7x = 3x -40 + 3x = -63 + 7x + -7x Combine like terms: 7x + -7x = 0 -40 + 3x = -63 + 0 -40 + 3x = -63 Add '40' to each side of the equation. -40 + 40 + 3x = -63 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = -63 + 40 3x = -63 + 40 Combine like terms: -63 + 40 = -23 3x = -23 Divide each side by '3'. x = -7.666666667 Simplifying x = -7.666666667
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