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Simplifying -3(5x + -1) + -2(7 + -8x) = -10 Reorder the terms: -3(-1 + 5x) + -2(7 + -8x) = -10 (-1 * -3 + 5x * -3) + -2(7 + -8x) = -10 (3 + -15x) + -2(7 + -8x) = -10 3 + -15x + (7 * -2 + -8x * -2) = -10 3 + -15x + (-14 + 16x) = -10 Reorder the terms: 3 + -14 + -15x + 16x = -10 Combine like terms: 3 + -14 = -11 -11 + -15x + 16x = -10 Combine like terms: -15x + 16x = 1x -11 + 1x = -10 Solving -11 + 1x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1x = -10 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = -10 + 11 1x = -10 + 11 Combine like terms: -10 + 11 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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