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Simplifying -7 + -5(-8x + 2) = 2(3x + -5) + 9 Reorder the terms: -7 + -5(2 + -8x) = 2(3x + -5) + 9 -7 + (2 * -5 + -8x * -5) = 2(3x + -5) + 9 -7 + (-10 + 40x) = 2(3x + -5) + 9 Combine like terms: -7 + -10 = -17 -17 + 40x = 2(3x + -5) + 9 Reorder the terms: -17 + 40x = 2(-5 + 3x) + 9 -17 + 40x = (-5 * 2 + 3x * 2) + 9 -17 + 40x = (-10 + 6x) + 9 Reorder the terms: -17 + 40x = -10 + 9 + 6x Combine like terms: -10 + 9 = -1 -17 + 40x = -1 + 6x Solving -17 + 40x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -17 + 40x + -6x = -1 + 6x + -6x Combine like terms: 40x + -6x = 34x -17 + 34x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + 34x = -1 + 0 -17 + 34x = -1 Add '17' to each side of the equation. -17 + 17 + 34x = -1 + 17 Combine like terms: -17 + 17 = 0 0 + 34x = -1 + 17 34x = -1 + 17 Combine like terms: -1 + 17 = 16 34x = 16 Divide each side by '34'. x = 0.4705882353 Simplifying x = 0.4705882353
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