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Simplifying -8(x + -7) + 2(2x + 5) = 10 Reorder the terms: -8(-7 + x) + 2(2x + 5) = 10 (-7 * -8 + x * -8) + 2(2x + 5) = 10 (56 + -8x) + 2(2x + 5) = 10 Reorder the terms: 56 + -8x + 2(5 + 2x) = 10 56 + -8x + (5 * 2 + 2x * 2) = 10 56 + -8x + (10 + 4x) = 10 Reorder the terms: 56 + 10 + -8x + 4x = 10 Combine like terms: 56 + 10 = 66 66 + -8x + 4x = 10 Combine like terms: -8x + 4x = -4x 66 + -4x = 10 Solving 66 + -4x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -4x = 10 + -66 Combine like terms: 66 + -66 = 0 0 + -4x = 10 + -66 -4x = 10 + -66 Combine like terms: 10 + -66 = -56 -4x = -56 Divide each side by '-4'. x = 14 Simplifying x = 14
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