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