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Simplifying 5(x + 5) + -4(x + 2) = -2 Reorder the terms: 5(5 + x) + -4(x + 2) = -2 (5 * 5 + x * 5) + -4(x + 2) = -2 (25 + 5x) + -4(x + 2) = -2 Reorder the terms: 25 + 5x + -4(2 + x) = -2 25 + 5x + (2 * -4 + x * -4) = -2 25 + 5x + (-8 + -4x) = -2 Reorder the terms: 25 + -8 + 5x + -4x = -2 Combine like terms: 25 + -8 = 17 17 + 5x + -4x = -2 Combine like terms: 5x + -4x = 1x 17 + 1x = -2 Solving 17 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1x = -2 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = -2 + -17 1x = -2 + -17 Combine like terms: -2 + -17 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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