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