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Simplifying 3(4x + 1) + -2(1 + -5x) = 2 + x Reorder the terms: 3(1 + 4x) + -2(1 + -5x) = 2 + x (1 * 3 + 4x * 3) + -2(1 + -5x) = 2 + x (3 + 12x) + -2(1 + -5x) = 2 + x 3 + 12x + (1 * -2 + -5x * -2) = 2 + x 3 + 12x + (-2 + 10x) = 2 + x Reorder the terms: 3 + -2 + 12x + 10x = 2 + x Combine like terms: 3 + -2 = 1 1 + 12x + 10x = 2 + x Combine like terms: 12x + 10x = 22x 1 + 22x = 2 + x Solving 1 + 22x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 22x + -1x = 2 + x + -1x Combine like terms: 22x + -1x = 21x 1 + 21x = 2 + x + -1x Combine like terms: x + -1x = 0 1 + 21x = 2 + 0 1 + 21x = 2 Add '-1' to each side of the equation. 1 + -1 + 21x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 21x = 2 + -1 21x = 2 + -1 Combine like terms: 2 + -1 = 1 21x = 1 Divide each side by '21'. x = 0.04761904762 Simplifying x = 0.04761904762
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