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Simplifying 3x + 1 = x + 9 + 32 + x + -7 + 32 Reorder the terms: 1 + 3x = x + 9 + 32 + x + -7 + 32 Reorder the terms: 1 + 3x = 9 + 32 + -7 + 32 + x + x Combine like terms: 9 + 32 = 41 1 + 3x = 41 + -7 + 32 + x + x Combine like terms: 41 + -7 = 34 1 + 3x = 34 + 32 + x + x Combine like terms: 34 + 32 = 66 1 + 3x = 66 + x + x Combine like terms: x + x = 2x 1 + 3x = 66 + 2x Solving 1 + 3x = 66 + 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. 1 + 3x + -2x = 66 + 2x + -2x Combine like terms: 3x + -2x = 1x 1 + 1x = 66 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 1x = 66 + 0 1 + 1x = 66 Add '-1' to each side of the equation. 1 + -1 + 1x = 66 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 66 + -1 1x = 66 + -1 Combine like terms: 66 + -1 = 65 1x = 65 Divide each side by '1'. x = 65 Simplifying x = 65
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