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Simplifying 5(1 + 2x) + 9(x + 10) = -57 (1 * 5 + 2x * 5) + 9(x + 10) = -57 (5 + 10x) + 9(x + 10) = -57 Reorder the terms: 5 + 10x + 9(10 + x) = -57 5 + 10x + (10 * 9 + x * 9) = -57 5 + 10x + (90 + 9x) = -57 Reorder the terms: 5 + 90 + 10x + 9x = -57 Combine like terms: 5 + 90 = 95 95 + 10x + 9x = -57 Combine like terms: 10x + 9x = 19x 95 + 19x = -57 Solving 95 + 19x = -57 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + 19x = -57 + -95 Combine like terms: 95 + -95 = 0 0 + 19x = -57 + -95 19x = -57 + -95 Combine like terms: -57 + -95 = -152 19x = -152 Divide each side by '19'. x = -8 Simplifying x = -8
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