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Simplifying -3(2x + 5) + -1(8x + -7) = -2(6x + 6) Reorder the terms: -3(5 + 2x) + -1(8x + -7) = -2(6x + 6) (5 * -3 + 2x * -3) + -1(8x + -7) = -2(6x + 6) (-15 + -6x) + -1(8x + -7) = -2(6x + 6) Reorder the terms: -15 + -6x + -1(-7 + 8x) = -2(6x + 6) -15 + -6x + (-7 * -1 + 8x * -1) = -2(6x + 6) -15 + -6x + (7 + -8x) = -2(6x + 6) Reorder the terms: -15 + 7 + -6x + -8x = -2(6x + 6) Combine like terms: -15 + 7 = -8 -8 + -6x + -8x = -2(6x + 6) Combine like terms: -6x + -8x = -14x -8 + -14x = -2(6x + 6) Reorder the terms: -8 + -14x = -2(6 + 6x) -8 + -14x = (6 * -2 + 6x * -2) -8 + -14x = (-12 + -12x) Solving -8 + -14x = -12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -8 + -14x + 12x = -12 + -12x + 12x Combine like terms: -14x + 12x = -2x -8 + -2x = -12 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + -2x = -12 + 0 -8 + -2x = -12 Add '8' to each side of the equation. -8 + 8 + -2x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -12 + 8 -2x = -12 + 8 Combine like terms: -12 + 8 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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