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Simplifying 2x + 4(8x + -1) = 35 + -5x Reorder the terms: 2x + 4(-1 + 8x) = 35 + -5x 2x + (-1 * 4 + 8x * 4) = 35 + -5x 2x + (-4 + 32x) = 35 + -5x Reorder the terms: -4 + 2x + 32x = 35 + -5x Combine like terms: 2x + 32x = 34x -4 + 34x = 35 + -5x Solving -4 + 34x = 35 + -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. -4 + 34x + 5x = 35 + -5x + 5x Combine like terms: 34x + 5x = 39x -4 + 39x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 39x = 35 + 0 -4 + 39x = 35 Add '4' to each side of the equation. -4 + 4 + 39x = 35 + 4 Combine like terms: -4 + 4 = 0 0 + 39x = 35 + 4 39x = 35 + 4 Combine like terms: 35 + 4 = 39 39x = 39 Divide each side by '39'. x = 1 Simplifying x = 1
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