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Simplifying 2(x + 5) + 4(2x + -1) = 8x + 12 Reorder the terms: 2(5 + x) + 4(2x + -1) = 8x + 12 (5 * 2 + x * 2) + 4(2x + -1) = 8x + 12 (10 + 2x) + 4(2x + -1) = 8x + 12 Reorder the terms: 10 + 2x + 4(-1 + 2x) = 8x + 12 10 + 2x + (-1 * 4 + 2x * 4) = 8x + 12 10 + 2x + (-4 + 8x) = 8x + 12 Reorder the terms: 10 + -4 + 2x + 8x = 8x + 12 Combine like terms: 10 + -4 = 6 6 + 2x + 8x = 8x + 12 Combine like terms: 2x + 8x = 10x 6 + 10x = 8x + 12 Reorder the terms: 6 + 10x = 12 + 8x Solving 6 + 10x = 12 + 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. 6 + 10x + -8x = 12 + 8x + -8x Combine like terms: 10x + -8x = 2x 6 + 2x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + 2x = 12 + 0 6 + 2x = 12 Add '-6' to each side of the equation. 6 + -6 + 2x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 12 + -6 2x = 12 + -6 Combine like terms: 12 + -6 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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