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Simplifying -6(x + 10) = 8 + -7(x + 5) Reorder the terms: -6(10 + x) = 8 + -7(x + 5) (10 * -6 + x * -6) = 8 + -7(x + 5) (-60 + -6x) = 8 + -7(x + 5) Reorder the terms: -60 + -6x = 8 + -7(5 + x) -60 + -6x = 8 + (5 * -7 + x * -7) -60 + -6x = 8 + (-35 + -7x) Combine like terms: 8 + -35 = -27 -60 + -6x = -27 + -7x Solving -60 + -6x = -27 + -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. -60 + -6x + 7x = -27 + -7x + 7x Combine like terms: -6x + 7x = 1x -60 + 1x = -27 + -7x + 7x Combine like terms: -7x + 7x = 0 -60 + 1x = -27 + 0 -60 + 1x = -27 Add '60' to each side of the equation. -60 + 60 + 1x = -27 + 60 Combine like terms: -60 + 60 = 0 0 + 1x = -27 + 60 1x = -27 + 60 Combine like terms: -27 + 60 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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