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Simplifying 4(5x + -1) = 3(4x + 12) Reorder the terms: 4(-1 + 5x) = 3(4x + 12) (-1 * 4 + 5x * 4) = 3(4x + 12) (-4 + 20x) = 3(4x + 12) Reorder the terms: -4 + 20x = 3(12 + 4x) -4 + 20x = (12 * 3 + 4x * 3) -4 + 20x = (36 + 12x) Solving -4 + 20x = 36 + 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. -4 + 20x + -12x = 36 + 12x + -12x Combine like terms: 20x + -12x = 8x -4 + 8x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + 8x = 36 + 0 -4 + 8x = 36 Add '4' to each side of the equation. -4 + 4 + 8x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 36 + 4 8x = 36 + 4 Combine like terms: 36 + 4 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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