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Simplifying 5(2 + -3x) + 4(5x) = 45 (2 * 5 + -3x * 5) + 4(5x) = 45 (10 + -15x) + 4(5x) = 45 Remove parenthesis around (5x) 10 + -15x + 4 * 5x = 45 Multiply 4 * 5 10 + -15x + 20x = 45 Combine like terms: -15x + 20x = 5x 10 + 5x = 45 Solving 10 + 5x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5x = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 45 + -10 5x = 45 + -10 Combine like terms: 45 + -10 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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