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Simplifying 5(4x + -1) = 12(2x + 3) Reorder the terms: 5(-1 + 4x) = 12(2x + 3) (-1 * 5 + 4x * 5) = 12(2x + 3) (-5 + 20x) = 12(2x + 3) Reorder the terms: -5 + 20x = 12(3 + 2x) -5 + 20x = (3 * 12 + 2x * 12) -5 + 20x = (36 + 24x) Solving -5 + 20x = 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. -5 + 20x + -24x = 36 + 24x + -24x Combine like terms: 20x + -24x = -4x -5 + -4x = 36 + 24x + -24x Combine like terms: 24x + -24x = 0 -5 + -4x = 36 + 0 -5 + -4x = 36 Add '5' to each side of the equation. -5 + 5 + -4x = 36 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 36 + 5 -4x = 36 + 5 Combine like terms: 36 + 5 = 41 -4x = 41 Divide each side by '-4'. x = -10.25 Simplifying x = -10.25
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