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Simplifying -10(2x + -3) + 7(3x + -4) + -9 = 8 + -2 Reorder the terms: -10(-3 + 2x) + 7(3x + -4) + -9 = 8 + -2 (-3 * -10 + 2x * -10) + 7(3x + -4) + -9 = 8 + -2 (30 + -20x) + 7(3x + -4) + -9 = 8 + -2 Reorder the terms: 30 + -20x + 7(-4 + 3x) + -9 = 8 + -2 30 + -20x + (-4 * 7 + 3x * 7) + -9 = 8 + -2 30 + -20x + (-28 + 21x) + -9 = 8 + -2 Reorder the terms: 30 + -28 + -9 + -20x + 21x = 8 + -2 Combine like terms: 30 + -28 = 2 2 + -9 + -20x + 21x = 8 + -2 Combine like terms: 2 + -9 = -7 -7 + -20x + 21x = 8 + -2 Combine like terms: -20x + 21x = 1x -7 + 1x = 8 + -2 Combine like terms: 8 + -2 = 6 -7 + 1x = 6 Solving -7 + 1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 6 + 7 1x = 6 + 7 Combine like terms: 6 + 7 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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