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Simplifying 4 + 3(4x + -4) = 6 + -4(2x + 1) Reorder the terms: 4 + 3(-4 + 4x) = 6 + -4(2x + 1) 4 + (-4 * 3 + 4x * 3) = 6 + -4(2x + 1) 4 + (-12 + 12x) = 6 + -4(2x + 1) Combine like terms: 4 + -12 = -8 -8 + 12x = 6 + -4(2x + 1) Reorder the terms: -8 + 12x = 6 + -4(1 + 2x) -8 + 12x = 6 + (1 * -4 + 2x * -4) -8 + 12x = 6 + (-4 + -8x) Combine like terms: 6 + -4 = 2 -8 + 12x = 2 + -8x Solving -8 + 12x = 2 + -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. -8 + 12x + 8x = 2 + -8x + 8x Combine like terms: 12x + 8x = 20x -8 + 20x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 20x = 2 + 0 -8 + 20x = 2 Add '8' to each side of the equation. -8 + 8 + 20x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 20x = 2 + 8 20x = 2 + 8 Combine like terms: 2 + 8 = 10 20x = 10 Divide each side by '20'. x = 0.5 Simplifying x = 0.5
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