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Simplifying 7(10 + -5x) + 7(1 + -10x) = -28 (10 * 7 + -5x * 7) + 7(1 + -10x) = -28 (70 + -35x) + 7(1 + -10x) = -28 70 + -35x + (1 * 7 + -10x * 7) = -28 70 + -35x + (7 + -70x) = -28 Reorder the terms: 70 + 7 + -35x + -70x = -28 Combine like terms: 70 + 7 = 77 77 + -35x + -70x = -28 Combine like terms: -35x + -70x = -105x 77 + -105x = -28 Solving 77 + -105x = -28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + -105x = -28 + -77 Combine like terms: 77 + -77 = 0 0 + -105x = -28 + -77 -105x = -28 + -77 Combine like terms: -28 + -77 = -105 -105x = -105 Divide each side by '-105'. x = 1 Simplifying x = 1
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