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Simplifying 3(5x + 4 + -2x) + 5(3x + -3) = 45 Reorder the terms: 3(4 + 5x + -2x) + 5(3x + -3) = 45 Combine like terms: 5x + -2x = 3x 3(4 + 3x) + 5(3x + -3) = 45 (4 * 3 + 3x * 3) + 5(3x + -3) = 45 (12 + 9x) + 5(3x + -3) = 45 Reorder the terms: 12 + 9x + 5(-3 + 3x) = 45 12 + 9x + (-3 * 5 + 3x * 5) = 45 12 + 9x + (-15 + 15x) = 45 Reorder the terms: 12 + -15 + 9x + 15x = 45 Combine like terms: 12 + -15 = -3 -3 + 9x + 15x = 45 Combine like terms: 9x + 15x = 24x -3 + 24x = 45 Solving -3 + 24x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 24x = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 24x = 45 + 3 24x = 45 + 3 Combine like terms: 45 + 3 = 48 24x = 48 Divide each side by '24'. x = 2 Simplifying x = 2
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