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Simplifying 8(-2x + 3) = 12(-2x + 3) Reorder the terms: 8(3 + -2x) = 12(-2x + 3) (3 * 8 + -2x * 8) = 12(-2x + 3) (24 + -16x) = 12(-2x + 3) Reorder the terms: 24 + -16x = 12(3 + -2x) 24 + -16x = (3 * 12 + -2x * 12) 24 + -16x = (36 + -24x) Solving 24 + -16x = 36 + -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. 24 + -16x + 24x = 36 + -24x + 24x Combine like terms: -16x + 24x = 8x 24 + 8x = 36 + -24x + 24x Combine like terms: -24x + 24x = 0 24 + 8x = 36 + 0 24 + 8x = 36 Add '-24' to each side of the equation. 24 + -24 + 8x = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = 36 + -24 8x = 36 + -24 Combine like terms: 36 + -24 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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