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