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Simplifying 3x + 1 = 8(7 + -1x) Reorder the terms: 1 + 3x = 8(7 + -1x) 1 + 3x = (7 * 8 + -1x * 8) 1 + 3x = (56 + -8x) Solving 1 + 3x = 56 + -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. 1 + 3x + 8x = 56 + -8x + 8x Combine like terms: 3x + 8x = 11x 1 + 11x = 56 + -8x + 8x Combine like terms: -8x + 8x = 0 1 + 11x = 56 + 0 1 + 11x = 56 Add '-1' to each side of the equation. 1 + -1 + 11x = 56 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 56 + -1 11x = 56 + -1 Combine like terms: 56 + -1 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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