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Simplifying 8x + 35 = 5(1 + 6x) + 8 Reorder the terms: 35 + 8x = 5(1 + 6x) + 8 35 + 8x = (1 * 5 + 6x * 5) + 8 35 + 8x = (5 + 30x) + 8 Reorder the terms: 35 + 8x = 5 + 8 + 30x Combine like terms: 5 + 8 = 13 35 + 8x = 13 + 30x Solving 35 + 8x = 13 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 35 + 8x + -30x = 13 + 30x + -30x Combine like terms: 8x + -30x = -22x 35 + -22x = 13 + 30x + -30x Combine like terms: 30x + -30x = 0 35 + -22x = 13 + 0 35 + -22x = 13 Add '-35' to each side of the equation. 35 + -35 + -22x = 13 + -35 Combine like terms: 35 + -35 = 0 0 + -22x = 13 + -35 -22x = 13 + -35 Combine like terms: 13 + -35 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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