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Simplifying 8 + 3(4x + -4) = 5 + -4(2x + 1) Reorder the terms: 8 + 3(-4 + 4x) = 5 + -4(2x + 1) 8 + (-4 * 3 + 4x * 3) = 5 + -4(2x + 1) 8 + (-12 + 12x) = 5 + -4(2x + 1) Combine like terms: 8 + -12 = -4 -4 + 12x = 5 + -4(2x + 1) Reorder the terms: -4 + 12x = 5 + -4(1 + 2x) -4 + 12x = 5 + (1 * -4 + 2x * -4) -4 + 12x = 5 + (-4 + -8x) Combine like terms: 5 + -4 = 1 -4 + 12x = 1 + -8x Solving -4 + 12x = 1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -4 + 12x + 8x = 1 + -8x + 8x Combine like terms: 12x + 8x = 20x -4 + 20x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 20x = 1 + 0 -4 + 20x = 1 Add '4' to each side of the equation. -4 + 4 + 20x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 20x = 1 + 4 20x = 1 + 4 Combine like terms: 1 + 4 = 5 20x = 5 Divide each side by '20'. x = 0.25 Simplifying x = 0.25
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