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Simplifying -8x + -6x = -6(x + 10) + -12(x + -7) Combine like terms: -8x + -6x = -14x -14x = -6(x + 10) + -12(x + -7) Reorder the terms: -14x = -6(10 + x) + -12(x + -7) -14x = (10 * -6 + x * -6) + -12(x + -7) -14x = (-60 + -6x) + -12(x + -7) Reorder the terms: -14x = -60 + -6x + -12(-7 + x) -14x = -60 + -6x + (-7 * -12 + x * -12) -14x = -60 + -6x + (84 + -12x) Reorder the terms: -14x = -60 + 84 + -6x + -12x Combine like terms: -60 + 84 = 24 -14x = 24 + -6x + -12x Combine like terms: -6x + -12x = -18x -14x = 24 + -18x Solving -14x = 24 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -14x + 18x = 24 + -18x + 18x Combine like terms: -14x + 18x = 4x 4x = 24 + -18x + 18x Combine like terms: -18x + 18x = 0 4x = 24 + 0 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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