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Simplifying 3x + 1 = -3(x + -1) + 4 Reorder the terms: 1 + 3x = -3(x + -1) + 4 Reorder the terms: 1 + 3x = -3(-1 + x) + 4 1 + 3x = (-1 * -3 + x * -3) + 4 1 + 3x = (3 + -3x) + 4 Reorder the terms: 1 + 3x = 3 + 4 + -3x Combine like terms: 3 + 4 = 7 1 + 3x = 7 + -3x Solving 1 + 3x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + 3x + 3x = 7 + -3x + 3x Combine like terms: 3x + 3x = 6x 1 + 6x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 6x = 7 + 0 1 + 6x = 7 Add '-1' to each side of the equation. 1 + -1 + 6x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 7 + -1 6x = 7 + -1 Combine like terms: 7 + -1 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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