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Simplifying 8 + 2(3x + -1) = -2(6x + -4) + 2x Reorder the terms: 8 + 2(-1 + 3x) = -2(6x + -4) + 2x 8 + (-1 * 2 + 3x * 2) = -2(6x + -4) + 2x 8 + (-2 + 6x) = -2(6x + -4) + 2x Combine like terms: 8 + -2 = 6 6 + 6x = -2(6x + -4) + 2x Reorder the terms: 6 + 6x = -2(-4 + 6x) + 2x 6 + 6x = (-4 * -2 + 6x * -2) + 2x 6 + 6x = (8 + -12x) + 2x Combine like terms: -12x + 2x = -10x 6 + 6x = 8 + -10x Solving 6 + 6x = 8 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 6 + 6x + 10x = 8 + -10x + 10x Combine like terms: 6x + 10x = 16x 6 + 16x = 8 + -10x + 10x Combine like terms: -10x + 10x = 0 6 + 16x = 8 + 0 6 + 16x = 8 Add '-6' to each side of the equation. 6 + -6 + 16x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 16x = 8 + -6 16x = 8 + -6 Combine like terms: 8 + -6 = 2 16x = 2 Divide each side by '16'. x = 0.125 Simplifying x = 0.125
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