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Simplifying 6 + 3(2x + -2) = -7(2x + -2) + 8x Reorder the terms: 6 + 3(-2 + 2x) = -7(2x + -2) + 8x 6 + (-2 * 3 + 2x * 3) = -7(2x + -2) + 8x 6 + (-6 + 6x) = -7(2x + -2) + 8x Combine like terms: 6 + -6 = 0 0 + 6x = -7(2x + -2) + 8x 6x = -7(2x + -2) + 8x Reorder the terms: 6x = -7(-2 + 2x) + 8x 6x = (-2 * -7 + 2x * -7) + 8x 6x = (14 + -14x) + 8x Combine like terms: -14x + 8x = -6x 6x = 14 + -6x Solving 6x = 14 + -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. 6x + 6x = 14 + -6x + 6x Combine like terms: 6x + 6x = 12x 12x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 12x = 14 + 0 12x = 14 Divide each side by '12'. x = 1.166666667 Simplifying x = 1.166666667
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