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Simplifying 5x + 2(3x + 1) = 12x + 1 Reorder the terms: 5x + 2(1 + 3x) = 12x + 1 5x + (1 * 2 + 3x * 2) = 12x + 1 5x + (2 + 6x) = 12x + 1 Reorder the terms: 2 + 5x + 6x = 12x + 1 Combine like terms: 5x + 6x = 11x 2 + 11x = 12x + 1 Reorder the terms: 2 + 11x = 1 + 12x Solving 2 + 11x = 1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + 11x + -12x = 1 + 12x + -12x Combine like terms: 11x + -12x = -1x 2 + -1x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -1x = 1 + 0 2 + -1x = 1 Add '-2' to each side of the equation. 2 + -2 + -1x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 1 + -2 -1x = 1 + -2 Combine like terms: 1 + -2 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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