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Simplifying -3x + 8 = 4(2x + -1) + 1 Reorder the terms: 8 + -3x = 4(2x + -1) + 1 Reorder the terms: 8 + -3x = 4(-1 + 2x) + 1 8 + -3x = (-1 * 4 + 2x * 4) + 1 8 + -3x = (-4 + 8x) + 1 Reorder the terms: 8 + -3x = -4 + 1 + 8x Combine like terms: -4 + 1 = -3 8 + -3x = -3 + 8x Solving 8 + -3x = -3 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + -3x + -8x = -3 + 8x + -8x Combine like terms: -3x + -8x = -11x 8 + -11x = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -11x = -3 + 0 8 + -11x = -3 Add '-8' to each side of the equation. 8 + -8 + -11x = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = -3 + -8 -11x = -3 + -8 Combine like terms: -3 + -8 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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