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Simplifying 4(2x + -1) = 12(2x + 3) Reorder the terms: 4(-1 + 2x) = 12(2x + 3) (-1 * 4 + 2x * 4) = 12(2x + 3) (-4 + 8x) = 12(2x + 3) Reorder the terms: -4 + 8x = 12(3 + 2x) -4 + 8x = (3 * 12 + 2x * 12) -4 + 8x = (36 + 24x) Solving -4 + 8x = 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. -4 + 8x + -24x = 36 + 24x + -24x Combine like terms: 8x + -24x = -16x -4 + -16x = 36 + 24x + -24x Combine like terms: 24x + -24x = 0 -4 + -16x = 36 + 0 -4 + -16x = 36 Add '4' to each side of the equation. -4 + 4 + -16x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -16x = 36 + 4 -16x = 36 + 4 Combine like terms: 36 + 4 = 40 -16x = 40 Divide each side by '-16'. x = -2.5 Simplifying x = -2.5
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