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Simplifying 3(x + 2) + -1 = x + 7 + -4 Reorder the terms: 3(2 + x) + -1 = x + 7 + -4 (2 * 3 + x * 3) + -1 = x + 7 + -4 (6 + 3x) + -1 = x + 7 + -4 Reorder the terms: 6 + -1 + 3x = x + 7 + -4 Combine like terms: 6 + -1 = 5 5 + 3x = x + 7 + -4 Reorder the terms: 5 + 3x = 7 + -4 + x Combine like terms: 7 + -4 = 3 5 + 3x = 3 + x Solving 5 + 3x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 3x + -1x = 3 + x + -1x Combine like terms: 3x + -1x = 2x 5 + 2x = 3 + x + -1x Combine like terms: x + -1x = 0 5 + 2x = 3 + 0 5 + 2x = 3 Add '-5' to each side of the equation. 5 + -5 + 2x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 3 + -5 2x = 3 + -5 Combine like terms: 3 + -5 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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