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Simplifying 2(3x + 1) + 4(5x + -5) = 6x + 12 Reorder the terms: 2(1 + 3x) + 4(5x + -5) = 6x + 12 (1 * 2 + 3x * 2) + 4(5x + -5) = 6x + 12 (2 + 6x) + 4(5x + -5) = 6x + 12 Reorder the terms: 2 + 6x + 4(-5 + 5x) = 6x + 12 2 + 6x + (-5 * 4 + 5x * 4) = 6x + 12 2 + 6x + (-20 + 20x) = 6x + 12 Reorder the terms: 2 + -20 + 6x + 20x = 6x + 12 Combine like terms: 2 + -20 = -18 -18 + 6x + 20x = 6x + 12 Combine like terms: 6x + 20x = 26x -18 + 26x = 6x + 12 Reorder the terms: -18 + 26x = 12 + 6x Solving -18 + 26x = 12 + 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. -18 + 26x + -6x = 12 + 6x + -6x Combine like terms: 26x + -6x = 20x -18 + 20x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 20x = 12 + 0 -18 + 20x = 12 Add '18' to each side of the equation. -18 + 18 + 20x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 20x = 12 + 18 20x = 12 + 18 Combine like terms: 12 + 18 = 30 20x = 30 Divide each side by '20'. x = 1.5 Simplifying x = 1.5
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