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Simplifying -2(4x + 7) + 6(5x + -7) = 10 Reorder the terms: -2(7 + 4x) + 6(5x + -7) = 10 (7 * -2 + 4x * -2) + 6(5x + -7) = 10 (-14 + -8x) + 6(5x + -7) = 10 Reorder the terms: -14 + -8x + 6(-7 + 5x) = 10 -14 + -8x + (-7 * 6 + 5x * 6) = 10 -14 + -8x + (-42 + 30x) = 10 Reorder the terms: -14 + -42 + -8x + 30x = 10 Combine like terms: -14 + -42 = -56 -56 + -8x + 30x = 10 Combine like terms: -8x + 30x = 22x -56 + 22x = 10 Solving -56 + 22x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 22x = 10 + 56 Combine like terms: -56 + 56 = 0 0 + 22x = 10 + 56 22x = 10 + 56 Combine like terms: 10 + 56 = 66 22x = 66 Divide each side by '22'. x = 3 Simplifying x = 3
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