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Simplifying 5(x + -10) + -6(x + -7) = -9(x + -8) Reorder the terms: 5(-10 + x) + -6(x + -7) = -9(x + -8) (-10 * 5 + x * 5) + -6(x + -7) = -9(x + -8) (-50 + 5x) + -6(x + -7) = -9(x + -8) Reorder the terms: -50 + 5x + -6(-7 + x) = -9(x + -8) -50 + 5x + (-7 * -6 + x * -6) = -9(x + -8) -50 + 5x + (42 + -6x) = -9(x + -8) Reorder the terms: -50 + 42 + 5x + -6x = -9(x + -8) Combine like terms: -50 + 42 = -8 -8 + 5x + -6x = -9(x + -8) Combine like terms: 5x + -6x = -1x -8 + -1x = -9(x + -8) Reorder the terms: -8 + -1x = -9(-8 + x) -8 + -1x = (-8 * -9 + x * -9) -8 + -1x = (72 + -9x) Solving -8 + -1x = 72 + -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. -8 + -1x + 9x = 72 + -9x + 9x Combine like terms: -1x + 9x = 8x -8 + 8x = 72 + -9x + 9x Combine like terms: -9x + 9x = 0 -8 + 8x = 72 + 0 -8 + 8x = 72 Add '8' to each side of the equation. -8 + 8 + 8x = 72 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 72 + 8 8x = 72 + 8 Combine like terms: 72 + 8 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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