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Simplifying -2(x + -6) + 4(2x + 1) = 10 Reorder the terms: -2(-6 + x) + 4(2x + 1) = 10 (-6 * -2 + x * -2) + 4(2x + 1) = 10 (12 + -2x) + 4(2x + 1) = 10 Reorder the terms: 12 + -2x + 4(1 + 2x) = 10 12 + -2x + (1 * 4 + 2x * 4) = 10 12 + -2x + (4 + 8x) = 10 Reorder the terms: 12 + 4 + -2x + 8x = 10 Combine like terms: 12 + 4 = 16 16 + -2x + 8x = 10 Combine like terms: -2x + 8x = 6x 16 + 6x = 10 Solving 16 + 6x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 6x = 10 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 10 + -16 6x = 10 + -16 Combine like terms: 10 + -16 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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