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Simplifying 3 + 2(4x + -4) = 6 + -4(2x + 1) Reorder the terms: 3 + 2(-4 + 4x) = 6 + -4(2x + 1) 3 + (-4 * 2 + 4x * 2) = 6 + -4(2x + 1) 3 + (-8 + 8x) = 6 + -4(2x + 1) Combine like terms: 3 + -8 = -5 -5 + 8x = 6 + -4(2x + 1) Reorder the terms: -5 + 8x = 6 + -4(1 + 2x) -5 + 8x = 6 + (1 * -4 + 2x * -4) -5 + 8x = 6 + (-4 + -8x) Combine like terms: 6 + -4 = 2 -5 + 8x = 2 + -8x Solving -5 + 8x = 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. -5 + 8x + 8x = 2 + -8x + 8x Combine like terms: 8x + 8x = 16x -5 + 16x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + 16x = 2 + 0 -5 + 16x = 2 Add '5' to each side of the equation. -5 + 5 + 16x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 16x = 2 + 5 16x = 2 + 5 Combine like terms: 2 + 5 = 7 16x = 7 Divide each side by '16'. x = 0.4375 Simplifying x = 0.4375
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