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Simplifying 2(x + -4) + -35 = 13 + -5x Reorder the terms: 2(-4 + x) + -35 = 13 + -5x (-4 * 2 + x * 2) + -35 = 13 + -5x (-8 + 2x) + -35 = 13 + -5x Reorder the terms: -8 + -35 + 2x = 13 + -5x Combine like terms: -8 + -35 = -43 -43 + 2x = 13 + -5x Solving -43 + 2x = 13 + -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 + 2x + 5x = 13 + -5x + 5x Combine like terms: 2x + 5x = 7x -43 + 7x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 -43 + 7x = 13 + 0 -43 + 7x = 13 Add '43' to each side of the equation. -43 + 43 + 7x = 13 + 43 Combine like terms: -43 + 43 = 0 0 + 7x = 13 + 43 7x = 13 + 43 Combine like terms: 13 + 43 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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