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Simplifying -8x + 28 = 6(1 + -5x) Reorder the terms: 28 + -8x = 6(1 + -5x) 28 + -8x = (1 * 6 + -5x * 6) 28 + -8x = (6 + -30x) Solving 28 + -8x = 6 + -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. 28 + -8x + 30x = 6 + -30x + 30x Combine like terms: -8x + 30x = 22x 28 + 22x = 6 + -30x + 30x Combine like terms: -30x + 30x = 0 28 + 22x = 6 + 0 28 + 22x = 6 Add '-28' to each side of the equation. 28 + -28 + 22x = 6 + -28 Combine like terms: 28 + -28 = 0 0 + 22x = 6 + -28 22x = 6 + -28 Combine like terms: 6 + -28 = -22 22x = -22 Divide each side by '22'. x = -1 Simplifying x = -1
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