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