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Simplifying 2x + 8(4x + -7) + -1(3x + -10) = 35 Reorder the terms: 2x + 8(-7 + 4x) + -1(3x + -10) = 35 2x + (-7 * 8 + 4x * 8) + -1(3x + -10) = 35 2x + (-56 + 32x) + -1(3x + -10) = 35 Reorder the terms: 2x + -56 + 32x + -1(-10 + 3x) = 35 2x + -56 + 32x + (-10 * -1 + 3x * -1) = 35 2x + -56 + 32x + (10 + -3x) = 35 Reorder the terms: -56 + 10 + 2x + 32x + -3x = 35 Combine like terms: -56 + 10 = -46 -46 + 2x + 32x + -3x = 35 Combine like terms: 2x + 32x = 34x -46 + 34x + -3x = 35 Combine like terms: 34x + -3x = 31x -46 + 31x = 35 Solving -46 + 31x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 31x = 35 + 46 Combine like terms: -46 + 46 = 0 0 + 31x = 35 + 46 31x = 35 + 46 Combine like terms: 35 + 46 = 81 31x = 81 Divide each side by '31'. x = 2.612903226 Simplifying x = 2.612903226
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