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