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Simplifying 5(1 + -6x) + 8 = 35 + -8x (1 * 5 + -6x * 5) + 8 = 35 + -8x (5 + -30x) + 8 = 35 + -8x Reorder the terms: 5 + 8 + -30x = 35 + -8x Combine like terms: 5 + 8 = 13 13 + -30x = 35 + -8x Solving 13 + -30x = 35 + -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. 13 + -30x + 8x = 35 + -8x + 8x Combine like terms: -30x + 8x = -22x 13 + -22x = 35 + -8x + 8x Combine like terms: -8x + 8x = 0 13 + -22x = 35 + 0 13 + -22x = 35 Add '-13' to each side of the equation. 13 + -13 + -22x = 35 + -13 Combine like terms: 13 + -13 = 0 0 + -22x = 35 + -13 -22x = 35 + -13 Combine like terms: 35 + -13 = 22 -22x = 22 Divide each side by '-22'. x = -1 Simplifying x = -1
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