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Simplifying 28 + -8x = -1x + -7(6 + 6x) 28 + -8x = -1x + (6 * -7 + 6x * -7) 28 + -8x = -1x + (-42 + -42x) Reorder the terms: 28 + -8x = -42 + -1x + -42x Combine like terms: -1x + -42x = -43x 28 + -8x = -42 + -43x Solving 28 + -8x = -42 + -43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43x' to each side of the equation. 28 + -8x + 43x = -42 + -43x + 43x Combine like terms: -8x + 43x = 35x 28 + 35x = -42 + -43x + 43x Combine like terms: -43x + 43x = 0 28 + 35x = -42 + 0 28 + 35x = -42 Add '-28' to each side of the equation. 28 + -28 + 35x = -42 + -28 Combine like terms: 28 + -28 = 0 0 + 35x = -42 + -28 35x = -42 + -28 Combine like terms: -42 + -28 = -70 35x = -70 Divide each side by '35'. x = -2 Simplifying x = -2
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