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Simplifying 8 + -1(4x + -35) = 5x + 30 + -2 Reorder the terms: 8 + -1(-35 + 4x) = 5x + 30 + -2 8 + (-35 * -1 + 4x * -1) = 5x + 30 + -2 8 + (35 + -4x) = 5x + 30 + -2 Combine like terms: 8 + 35 = 43 43 + -4x = 5x + 30 + -2 Reorder the terms: 43 + -4x = 30 + -2 + 5x Combine like terms: 30 + -2 = 28 43 + -4x = 28 + 5x Solving 43 + -4x = 28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 43 + -4x + -5x = 28 + 5x + -5x Combine like terms: -4x + -5x = -9x 43 + -9x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 43 + -9x = 28 + 0 43 + -9x = 28 Add '-43' to each side of the equation. 43 + -43 + -9x = 28 + -43 Combine like terms: 43 + -43 = 0 0 + -9x = 28 + -43 -9x = 28 + -43 Combine like terms: 28 + -43 = -15 -9x = -15 Divide each side by '-9'. x = 1.666666667 Simplifying x = 1.666666667
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