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Simplifying 5 + 2(x + -18) = -5x + -17 Reorder the terms: 5 + 2(-18 + x) = -5x + -17 5 + (-18 * 2 + x * 2) = -5x + -17 5 + (-36 + 2x) = -5x + -17 Combine like terms: 5 + -36 = -31 -31 + 2x = -5x + -17 Reorder the terms: -31 + 2x = -17 + -5x Solving -31 + 2x = -17 + -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. -31 + 2x + 5x = -17 + -5x + 5x Combine like terms: 2x + 5x = 7x -31 + 7x = -17 + -5x + 5x Combine like terms: -5x + 5x = 0 -31 + 7x = -17 + 0 -31 + 7x = -17 Add '31' to each side of the equation. -31 + 31 + 7x = -17 + 31 Combine like terms: -31 + 31 = 0 0 + 7x = -17 + 31 7x = -17 + 31 Combine like terms: -17 + 31 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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