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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 = -8 -8 + -2x + 8x = 10 Combine like terms: -2x + 8x = 6x -8 + 6x = 10 Solving -8 + 6x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 10 + 8 6x = 10 + 8 Combine like terms: 10 + 8 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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