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Simplifying -8(2x + -3) = 12(x + 4) Reorder the terms: -8(-3 + 2x) = 12(x + 4) (-3 * -8 + 2x * -8) = 12(x + 4) (24 + -16x) = 12(x + 4) Reorder the terms: 24 + -16x = 12(4 + x) 24 + -16x = (4 * 12 + x * 12) 24 + -16x = (48 + 12x) Solving 24 + -16x = 48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + -16x + -12x = 48 + 12x + -12x Combine like terms: -16x + -12x = -28x 24 + -28x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -28x = 48 + 0 24 + -28x = 48 Add '-24' to each side of the equation. 24 + -24 + -28x = 48 + -24 Combine like terms: 24 + -24 = 0 0 + -28x = 48 + -24 -28x = 48 + -24 Combine like terms: 48 + -24 = 24 -28x = 24 Divide each side by '-28'. x = -0.8571428571 Simplifying x = -0.8571428571
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