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Simplifying -6(4x + -5) = 24x + -30 Reorder the terms: -6(-5 + 4x) = 24x + -30 (-5 * -6 + 4x * -6) = 24x + -30 (30 + -24x) = 24x + -30 Reorder the terms: 30 + -24x = -30 + 24x Solving 30 + -24x = -30 + 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. 30 + -24x + -24x = -30 + 24x + -24x Combine like terms: -24x + -24x = -48x 30 + -48x = -30 + 24x + -24x Combine like terms: 24x + -24x = 0 30 + -48x = -30 + 0 30 + -48x = -30 Add '-30' to each side of the equation. 30 + -30 + -48x = -30 + -30 Combine like terms: 30 + -30 = 0 0 + -48x = -30 + -30 -48x = -30 + -30 Combine like terms: -30 + -30 = -60 -48x = -60 Divide each side by '-48'. x = 1.25 Simplifying x = 1.25
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