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Simplifying 4x + -1(8x + 5) = 2x + -35 Reorder the terms: 4x + -1(5 + 8x) = 2x + -35 4x + (5 * -1 + 8x * -1) = 2x + -35 4x + (-5 + -8x) = 2x + -35 Reorder the terms: -5 + 4x + -8x = 2x + -35 Combine like terms: 4x + -8x = -4x -5 + -4x = 2x + -35 Reorder the terms: -5 + -4x = -35 + 2x Solving -5 + -4x = -35 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + -4x + -2x = -35 + 2x + -2x Combine like terms: -4x + -2x = -6x -5 + -6x = -35 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -6x = -35 + 0 -5 + -6x = -35 Add '5' to each side of the equation. -5 + 5 + -6x = -35 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -35 + 5 -6x = -35 + 5 Combine like terms: -35 + 5 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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