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Simplifying 3x + 1 = 2 + 4(2 + -1x) Reorder the terms: 1 + 3x = 2 + 4(2 + -1x) 1 + 3x = 2 + (2 * 4 + -1x * 4) 1 + 3x = 2 + (8 + -4x) Combine like terms: 2 + 8 = 10 1 + 3x = 10 + -4x Solving 1 + 3x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + 3x + 4x = 10 + -4x + 4x Combine like terms: 3x + 4x = 7x 1 + 7x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 7x = 10 + 0 1 + 7x = 10 Add '-1' to each side of the equation. 1 + -1 + 7x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 10 + -1 7x = 10 + -1 Combine like terms: 10 + -1 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286
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