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