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Simplifying 3x + 1 = 1 + -2(x + -3) Reorder the terms: 1 + 3x = 1 + -2(x + -3) Reorder the terms: 1 + 3x = 1 + -2(-3 + x) 1 + 3x = 1 + (-3 * -2 + x * -2) 1 + 3x = 1 + (6 + -2x) Combine like terms: 1 + 6 = 7 1 + 3x = 7 + -2x Solving 1 + 3x = 7 + -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 = 7 + -2x + 2x Combine like terms: 3x + 2x = 5x 1 + 5x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 5x = 7 + 0 1 + 5x = 7 Add '-1' to each side of the equation. 1 + -1 + 5x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 7 + -1 5x = 7 + -1 Combine like terms: 7 + -1 = 6 5x = 6 Divide each side by '5'. x = 1.2 Simplifying x = 1.2
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