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Simplifying 3(x + 1) + 1 + 2x = 3(2x + 2) + x Reorder the terms: 3(1 + x) + 1 + 2x = 3(2x + 2) + x (1 * 3 + x * 3) + 1 + 2x = 3(2x + 2) + x (3 + 3x) + 1 + 2x = 3(2x + 2) + x Reorder the terms: 3 + 1 + 3x + 2x = 3(2x + 2) + x Combine like terms: 3 + 1 = 4 4 + 3x + 2x = 3(2x + 2) + x Combine like terms: 3x + 2x = 5x 4 + 5x = 3(2x + 2) + x Reorder the terms: 4 + 5x = 3(2 + 2x) + x 4 + 5x = (2 * 3 + 2x * 3) + x 4 + 5x = (6 + 6x) + x Combine like terms: 6x + x = 7x 4 + 5x = 6 + 7x Solving 4 + 5x = 6 + 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. 4 + 5x + -7x = 6 + 7x + -7x Combine like terms: 5x + -7x = -2x 4 + -2x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -2x = 6 + 0 4 + -2x = 6 Add '-4' to each side of the equation. 4 + -4 + -2x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 6 + -4 -2x = 6 + -4 Combine like terms: 6 + -4 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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