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Simplifying 2(4x + 6) + -2 = 6x + 8 Reorder the terms: 2(6 + 4x) + -2 = 6x + 8 (6 * 2 + 4x * 2) + -2 = 6x + 8 (12 + 8x) + -2 = 6x + 8 Reorder the terms: 12 + -2 + 8x = 6x + 8 Combine like terms: 12 + -2 = 10 10 + 8x = 6x + 8 Reorder the terms: 10 + 8x = 8 + 6x Solving 10 + 8x = 8 + 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. 10 + 8x + -6x = 8 + 6x + -6x Combine like terms: 8x + -6x = 2x 10 + 2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 2x = 8 + 0 10 + 2x = 8 Add '-10' to each side of the equation. 10 + -10 + 2x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 8 + -10 2x = 8 + -10 Combine like terms: 8 + -10 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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