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Simplifying 1 + 2(3x + 1) = 2(x + -1) + 5x Reorder the terms: 1 + 2(1 + 3x) = 2(x + -1) + 5x 1 + (1 * 2 + 3x * 2) = 2(x + -1) + 5x 1 + (2 + 6x) = 2(x + -1) + 5x Combine like terms: 1 + 2 = 3 3 + 6x = 2(x + -1) + 5x Reorder the terms: 3 + 6x = 2(-1 + x) + 5x 3 + 6x = (-1 * 2 + x * 2) + 5x 3 + 6x = (-2 + 2x) + 5x Combine like terms: 2x + 5x = 7x 3 + 6x = -2 + 7x Solving 3 + 6x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + 6x + -7x = -2 + 7x + -7x Combine like terms: 6x + -7x = -1x 3 + -1x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + -1x = -2 + 0 3 + -1x = -2 Add '-3' to each side of the equation. 3 + -3 + -1x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -2 + -3 -1x = -2 + -3 Combine like terms: -2 + -3 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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