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