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