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Simplifying 3(-5x + -6) = -8x + 31 Reorder the terms: 3(-6 + -5x) = -8x + 31 (-6 * 3 + -5x * 3) = -8x + 31 (-18 + -15x) = -8x + 31 Reorder the terms: -18 + -15x = 31 + -8x Solving -18 + -15x = 31 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -18 + -15x + 8x = 31 + -8x + 8x Combine like terms: -15x + 8x = -7x -18 + -7x = 31 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + -7x = 31 + 0 -18 + -7x = 31 Add '18' to each side of the equation. -18 + 18 + -7x = 31 + 18 Combine like terms: -18 + 18 = 0 0 + -7x = 31 + 18 -7x = 31 + 18 Combine like terms: 31 + 18 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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