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Simplifying -10(2x + -4) + 7(3x + -7) + -7 = 9 + -7 Reorder the terms: -10(-4 + 2x) + 7(3x + -7) + -7 = 9 + -7 (-4 * -10 + 2x * -10) + 7(3x + -7) + -7 = 9 + -7 (40 + -20x) + 7(3x + -7) + -7 = 9 + -7 Reorder the terms: 40 + -20x + 7(-7 + 3x) + -7 = 9 + -7 40 + -20x + (-7 * 7 + 3x * 7) + -7 = 9 + -7 40 + -20x + (-49 + 21x) + -7 = 9 + -7 Reorder the terms: 40 + -49 + -7 + -20x + 21x = 9 + -7 Combine like terms: 40 + -49 = -9 -9 + -7 + -20x + 21x = 9 + -7 Combine like terms: -9 + -7 = -16 -16 + -20x + 21x = 9 + -7 Combine like terms: -20x + 21x = 1x -16 + 1x = 9 + -7 Combine like terms: 9 + -7 = 2 -16 + 1x = 2 Solving -16 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1x = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 2 + 16 1x = 2 + 16 Combine like terms: 2 + 16 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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