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Simplifying 6 + 2(4x + -4) = 6 + -3(2x + 1) Reorder the terms: 6 + 2(-4 + 4x) = 6 + -3(2x + 1) 6 + (-4 * 2 + 4x * 2) = 6 + -3(2x + 1) 6 + (-8 + 8x) = 6 + -3(2x + 1) Combine like terms: 6 + -8 = -2 -2 + 8x = 6 + -3(2x + 1) Reorder the terms: -2 + 8x = 6 + -3(1 + 2x) -2 + 8x = 6 + (1 * -3 + 2x * -3) -2 + 8x = 6 + (-3 + -6x) Combine like terms: 6 + -3 = 3 -2 + 8x = 3 + -6x Solving -2 + 8x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + 8x + 6x = 3 + -6x + 6x Combine like terms: 8x + 6x = 14x -2 + 14x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 14x = 3 + 0 -2 + 14x = 3 Add '2' to each side of the equation. -2 + 2 + 14x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = 3 + 2 14x = 3 + 2 Combine like terms: 3 + 2 = 5 14x = 5 Divide each side by '14'. x = 0.3571428571 Simplifying x = 0.3571428571
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