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Simplifying 5(x + -9) + -1(-7) = -1(x + -8) Reorder the terms: 5(-9 + x) + -1(-7) = -1(x + -8) (-9 * 5 + x * 5) + -1(-7) = -1(x + -8) (-45 + 5x) + -1(-7) = -1(x + -8) Multiply -1 * -7 -45 + 5x + 7 = -1(x + -8) Reorder the terms: -45 + 7 + 5x = -1(x + -8) Combine like terms: -45 + 7 = -38 -38 + 5x = -1(x + -8) Reorder the terms: -38 + 5x = -1(-8 + x) -38 + 5x = (-8 * -1 + x * -1) -38 + 5x = (8 + -1x) Solving -38 + 5x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -38 + 5x + x = 8 + -1x + x Combine like terms: 5x + x = 6x -38 + 6x = 8 + -1x + x Combine like terms: -1x + x = 0 -38 + 6x = 8 + 0 -38 + 6x = 8 Add '38' to each side of the equation. -38 + 38 + 6x = 8 + 38 Combine like terms: -38 + 38 = 0 0 + 6x = 8 + 38 6x = 8 + 38 Combine like terms: 8 + 38 = 46 6x = 46 Divide each side by '6'. x = 7.666666667 Simplifying x = 7.666666667
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