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Simplifying -6(4x + -8) = 2(12x + 9) Reorder the terms: -6(-8 + 4x) = 2(12x + 9) (-8 * -6 + 4x * -6) = 2(12x + 9) (48 + -24x) = 2(12x + 9) Reorder the terms: 48 + -24x = 2(9 + 12x) 48 + -24x = (9 * 2 + 12x * 2) 48 + -24x = (18 + 24x) Solving 48 + -24x = 18 + 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. 48 + -24x + -24x = 18 + 24x + -24x Combine like terms: -24x + -24x = -48x 48 + -48x = 18 + 24x + -24x Combine like terms: 24x + -24x = 0 48 + -48x = 18 + 0 48 + -48x = 18 Add '-48' to each side of the equation. 48 + -48 + -48x = 18 + -48 Combine like terms: 48 + -48 = 0 0 + -48x = 18 + -48 -48x = 18 + -48 Combine like terms: 18 + -48 = -30 -48x = -30 Divide each side by '-48'. x = 0.625 Simplifying x = 0.625
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