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Simplifying 6(x + 2) + -2 = 4 + -8(x + 1) Reorder the terms: 6(2 + x) + -2 = 4 + -8(x + 1) (2 * 6 + x * 6) + -2 = 4 + -8(x + 1) (12 + 6x) + -2 = 4 + -8(x + 1) Reorder the terms: 12 + -2 + 6x = 4 + -8(x + 1) Combine like terms: 12 + -2 = 10 10 + 6x = 4 + -8(x + 1) Reorder the terms: 10 + 6x = 4 + -8(1 + x) 10 + 6x = 4 + (1 * -8 + x * -8) 10 + 6x = 4 + (-8 + -8x) Combine like terms: 4 + -8 = -4 10 + 6x = -4 + -8x Solving 10 + 6x = -4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + 6x + 8x = -4 + -8x + 8x Combine like terms: 6x + 8x = 14x 10 + 14x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 14x = -4 + 0 10 + 14x = -4 Add '-10' to each side of the equation. 10 + -10 + 14x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = -4 + -10 14x = -4 + -10 Combine like terms: -4 + -10 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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