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