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Simplifying -10(2x + -1) + 7(3x + -4) + -5 = 7 + -8 Reorder the terms: -10(-1 + 2x) + 7(3x + -4) + -5 = 7 + -8 (-1 * -10 + 2x * -10) + 7(3x + -4) + -5 = 7 + -8 (10 + -20x) + 7(3x + -4) + -5 = 7 + -8 Reorder the terms: 10 + -20x + 7(-4 + 3x) + -5 = 7 + -8 10 + -20x + (-4 * 7 + 3x * 7) + -5 = 7 + -8 10 + -20x + (-28 + 21x) + -5 = 7 + -8 Reorder the terms: 10 + -28 + -5 + -20x + 21x = 7 + -8 Combine like terms: 10 + -28 = -18 -18 + -5 + -20x + 21x = 7 + -8 Combine like terms: -18 + -5 = -23 -23 + -20x + 21x = 7 + -8 Combine like terms: -20x + 21x = 1x -23 + 1x = 7 + -8 Combine like terms: 7 + -8 = -1 -23 + 1x = -1 Solving -23 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1x = -1 + 23 Combine like terms: -23 + 23 = 0 0 + 1x = -1 + 23 1x = -1 + 23 Combine like terms: -1 + 23 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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