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Simplifying -10(2x + -4) + 7(3x + -1) + -8 = 6 + -9 Reorder the terms: -10(-4 + 2x) + 7(3x + -1) + -8 = 6 + -9 (-4 * -10 + 2x * -10) + 7(3x + -1) + -8 = 6 + -9 (40 + -20x) + 7(3x + -1) + -8 = 6 + -9 Reorder the terms: 40 + -20x + 7(-1 + 3x) + -8 = 6 + -9 40 + -20x + (-1 * 7 + 3x * 7) + -8 = 6 + -9 40 + -20x + (-7 + 21x) + -8 = 6 + -9 Reorder the terms: 40 + -7 + -8 + -20x + 21x = 6 + -9 Combine like terms: 40 + -7 = 33 33 + -8 + -20x + 21x = 6 + -9 Combine like terms: 33 + -8 = 25 25 + -20x + 21x = 6 + -9 Combine like terms: -20x + 21x = 1x 25 + 1x = 6 + -9 Combine like terms: 6 + -9 = -3 25 + 1x = -3 Solving 25 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 1x = -3 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = -3 + -25 1x = -3 + -25 Combine like terms: -3 + -25 = -28 1x = -28 Divide each side by '1'. x = -28 Simplifying x = -28
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