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Simplifying 7(10 + -5x) + 7(1 + -10) = -28 (10 * 7 + -5x * 7) + 7(1 + -10) = -28 (70 + -35x) + 7(1 + -10) = -28 Combine like terms: 1 + -10 = -9 70 + -35x + 7(-9) = -28 Multiply 7 * -9 70 + -35x + -63 = -28 Reorder the terms: 70 + -63 + -35x = -28 Combine like terms: 70 + -63 = 7 7 + -35x = -28 Solving 7 + -35x = -28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -35x = -28 + -7 Combine like terms: 7 + -7 = 0 0 + -35x = -28 + -7 -35x = -28 + -7 Combine like terms: -28 + -7 = -35 -35x = -35 Divide each side by '-35'. x = 1 Simplifying x = 1
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