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Simplifying -3(x + -8) = 4(-6 + 0.25x) Reorder the terms: -3(-8 + x) = 4(-6 + 0.25x) (-8 * -3 + x * -3) = 4(-6 + 0.25x) (24 + -3x) = 4(-6 + 0.25x) 24 + -3x = (-6 * 4 + 0.25x * 4) 24 + -3x = (-24 + 1x) Solving 24 + -3x = -24 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + -3x + -1x = -24 + 1x + -1x Combine like terms: -3x + -1x = -4x 24 + -4x = -24 + 1x + -1x Combine like terms: 1x + -1x = 0 24 + -4x = -24 + 0 24 + -4x = -24 Add '-24' to each side of the equation. 24 + -24 + -4x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = -24 + -24 -4x = -24 + -24 Combine like terms: -24 + -24 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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