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Simplifying -3x + 8 = 2(3x + -1) + 1 Reorder the terms: 8 + -3x = 2(3x + -1) + 1 Reorder the terms: 8 + -3x = 2(-1 + 3x) + 1 8 + -3x = (-1 * 2 + 3x * 2) + 1 8 + -3x = (-2 + 6x) + 1 Reorder the terms: 8 + -3x = -2 + 1 + 6x Combine like terms: -2 + 1 = -1 8 + -3x = -1 + 6x Solving 8 + -3x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + -3x + -6x = -1 + 6x + -6x Combine like terms: -3x + -6x = -9x 8 + -9x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -9x = -1 + 0 8 + -9x = -1 Add '-8' to each side of the equation. 8 + -8 + -9x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = -1 + -8 -9x = -1 + -8 Combine like terms: -1 + -8 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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