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Simplifying 2x + 2 = -1(4x + 6) + -2x Reorder the terms: 2 + 2x = -1(4x + 6) + -2x Reorder the terms: 2 + 2x = -1(6 + 4x) + -2x 2 + 2x = (6 * -1 + 4x * -1) + -2x 2 + 2x = (-6 + -4x) + -2x Combine like terms: -4x + -2x = -6x 2 + 2x = -6 + -6x Solving 2 + 2x = -6 + -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 + 2x + 6x = -6 + -6x + 6x Combine like terms: 2x + 6x = 8x 2 + 8x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 8x = -6 + 0 2 + 8x = -6 Add '-2' to each side of the equation. 2 + -2 + 8x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = -6 + -2 8x = -6 + -2 Combine like terms: -6 + -2 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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