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Simplifying 8x + -2(x + -5) = x + 35 Reorder the terms: 8x + -2(-5 + x) = x + 35 8x + (-5 * -2 + x * -2) = x + 35 8x + (10 + -2x) = x + 35 Reorder the terms: 10 + 8x + -2x = x + 35 Combine like terms: 8x + -2x = 6x 10 + 6x = x + 35 Reorder the terms: 10 + 6x = 35 + x Solving 10 + 6x = 35 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 6x + -1x = 35 + x + -1x Combine like terms: 6x + -1x = 5x 10 + 5x = 35 + x + -1x Combine like terms: x + -1x = 0 10 + 5x = 35 + 0 10 + 5x = 35 Add '-10' to each side of the equation. 10 + -10 + 5x = 35 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 35 + -10 5x = 35 + -10 Combine like terms: 35 + -10 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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