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Simplifying 65 + -1(8x + -35) = 4x + 8 Reorder the terms: 65 + -1(-35 + 8x) = 4x + 8 65 + (-35 * -1 + 8x * -1) = 4x + 8 65 + (35 + -8x) = 4x + 8 Combine like terms: 65 + 35 = 100 100 + -8x = 4x + 8 Reorder the terms: 100 + -8x = 8 + 4x Solving 100 + -8x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 100 + -8x + -4x = 8 + 4x + -4x Combine like terms: -8x + -4x = -12x 100 + -12x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 100 + -12x = 8 + 0 100 + -12x = 8 Add '-100' to each side of the equation. 100 + -100 + -12x = 8 + -100 Combine like terms: 100 + -100 = 0 0 + -12x = 8 + -100 -12x = 8 + -100 Combine like terms: 8 + -100 = -92 -12x = -92 Divide each side by '-12'. x = 7.666666667 Simplifying x = 7.666666667
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