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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) Solving -12 + 20x = 12 + 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. -12 + 20x + -12x = 12 + 12x + -12x Combine like terms: 20x + -12x = 8x -12 + 8x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 8x = 12 + 0 -12 + 8x = 12 Add '12' to each side of the equation. -12 + 12 + 8x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 12 + 12 8x = 12 + 12 Combine like terms: 12 + 12 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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