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Simplifying 6(-6 + -3x) = -5(2x + -7) (-6 * 6 + -3x * 6) = -5(2x + -7) (-36 + -18x) = -5(2x + -7) Reorder the terms: -36 + -18x = -5(-7 + 2x) -36 + -18x = (-7 * -5 + 2x * -5) -36 + -18x = (35 + -10x) Solving -36 + -18x = 35 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -36 + -18x + 10x = 35 + -10x + 10x Combine like terms: -18x + 10x = -8x -36 + -8x = 35 + -10x + 10x Combine like terms: -10x + 10x = 0 -36 + -8x = 35 + 0 -36 + -8x = 35 Add '36' to each side of the equation. -36 + 36 + -8x = 35 + 36 Combine like terms: -36 + 36 = 0 0 + -8x = 35 + 36 -8x = 35 + 36 Combine like terms: 35 + 36 = 71 -8x = 71 Divide each side by '-8'. x = -8.875 Simplifying x = -8.875
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