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Simplifying 10(4x + 5) + -9(2x) = 94 Reorder the terms: 10(5 + 4x) + -9(2x) = 94 (5 * 10 + 4x * 10) + -9(2x) = 94 (50 + 40x) + -9(2x) = 94 Remove parenthesis around (2x) 50 + 40x + -9 * 2x = 94 Multiply -9 * 2 50 + 40x + -18x = 94 Combine like terms: 40x + -18x = 22x 50 + 22x = 94 Solving 50 + 22x = 94 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 22x = 94 + -50 Combine like terms: 50 + -50 = 0 0 + 22x = 94 + -50 22x = 94 + -50 Combine like terms: 94 + -50 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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