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Simplifying 3(-5 + -8x) = -31 + -8x (-5 * 3 + -8x * 3) = -31 + -8x (-15 + -24x) = -31 + -8x Solving -15 + -24x = -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. -15 + -24x + 8x = -31 + -8x + 8x Combine like terms: -24x + 8x = -16x -15 + -16x = -31 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + -16x = -31 + 0 -15 + -16x = -31 Add '15' to each side of the equation. -15 + 15 + -16x = -31 + 15 Combine like terms: -15 + 15 = 0 0 + -16x = -31 + 15 -16x = -31 + 15 Combine like terms: -31 + 15 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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