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Simplifying 3x + 1 = 2 + -1(x + -4) + 3x Reorder the terms: 1 + 3x = 2 + -1(x + -4) + 3x Reorder the terms: 1 + 3x = 2 + -1(-4 + x) + 3x 1 + 3x = 2 + (-4 * -1 + x * -1) + 3x 1 + 3x = 2 + (4 + -1x) + 3x Combine like terms: 2 + 4 = 6 1 + 3x = 6 + -1x + 3x Combine like terms: -1x + 3x = 2x 1 + 3x = 6 + 2x Solving 1 + 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. 1 + 3x + -2x = 6 + 2x + -2x Combine like terms: 3x + -2x = 1x 1 + 1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 1x = 6 + 0 1 + 1x = 6 Add '-1' to each side of the equation. 1 + -1 + 1x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 6 + -1 1x = 6 + -1 Combine like terms: 6 + -1 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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