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Simplifying -3(8x + 4) = 6(4x + 10) Reorder the terms: -3(4 + 8x) = 6(4x + 10) (4 * -3 + 8x * -3) = 6(4x + 10) (-12 + -24x) = 6(4x + 10) Reorder the terms: -12 + -24x = 6(10 + 4x) -12 + -24x = (10 * 6 + 4x * 6) -12 + -24x = (60 + 24x) Solving -12 + -24x = 60 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -12 + -24x + -24x = 60 + 24x + -24x Combine like terms: -24x + -24x = -48x -12 + -48x = 60 + 24x + -24x Combine like terms: 24x + -24x = 0 -12 + -48x = 60 + 0 -12 + -48x = 60 Add '12' to each side of the equation. -12 + 12 + -48x = 60 + 12 Combine like terms: -12 + 12 = 0 0 + -48x = 60 + 12 -48x = 60 + 12 Combine like terms: 60 + 12 = 72 -48x = 72 Divide each side by '-48'. x = -1.5 Simplifying x = -1.5
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