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Simplifying 5(x + -8) + -9(x + -7) = -7x Reorder the terms: 5(-8 + x) + -9(x + -7) = -7x (-8 * 5 + x * 5) + -9(x + -7) = -7x (-40 + 5x) + -9(x + -7) = -7x Reorder the terms: -40 + 5x + -9(-7 + x) = -7x -40 + 5x + (-7 * -9 + x * -9) = -7x -40 + 5x + (63 + -9x) = -7x Reorder the terms: -40 + 63 + 5x + -9x = -7x Combine like terms: -40 + 63 = 23 23 + 5x + -9x = -7x Combine like terms: 5x + -9x = -4x 23 + -4x = -7x Solving 23 + -4x = -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. 23 + -4x + 7x = -7x + 7x Combine like terms: -4x + 7x = 3x 23 + 3x = -7x + 7x Combine like terms: -7x + 7x = 0 23 + 3x = 0 Add '-23' to each side of the equation. 23 + -23 + 3x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 0 + -23 3x = 0 + -23 Combine like terms: 0 + -23 = -23 3x = -23 Divide each side by '3'. x = -7.666666667 Simplifying x = -7.666666667
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