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Simplifying 2(4x + 12) + -10x + -6 = 6 Reorder the terms: 2(12 + 4x) + -10x + -6 = 6 (12 * 2 + 4x * 2) + -10x + -6 = 6 (24 + 8x) + -10x + -6 = 6 Reorder the terms: 24 + -6 + 8x + -10x = 6 Combine like terms: 24 + -6 = 18 18 + 8x + -10x = 6 Combine like terms: 8x + -10x = -2x 18 + -2x = 6 Solving 18 + -2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -2x = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 6 + -18 -2x = 6 + -18 Combine like terms: 6 + -18 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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