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Simplifying 10(2x + -5) = 18(x + 2) Reorder the terms: 10(-5 + 2x) = 18(x + 2) (-5 * 10 + 2x * 10) = 18(x + 2) (-50 + 20x) = 18(x + 2) Reorder the terms: -50 + 20x = 18(2 + x) -50 + 20x = (2 * 18 + x * 18) -50 + 20x = (36 + 18x) Solving -50 + 20x = 36 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -50 + 20x + -18x = 36 + 18x + -18x Combine like terms: 20x + -18x = 2x -50 + 2x = 36 + 18x + -18x Combine like terms: 18x + -18x = 0 -50 + 2x = 36 + 0 -50 + 2x = 36 Add '50' to each side of the equation. -50 + 50 + 2x = 36 + 50 Combine like terms: -50 + 50 = 0 0 + 2x = 36 + 50 2x = 36 + 50 Combine like terms: 36 + 50 = 86 2x = 86 Divide each side by '2'. x = 43 Simplifying x = 43
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