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Simplifying 550 = 40x + 10(1.5x) Remove parenthesis around (1.5x) 550 = 40x + 10 * 1.5x Multiply 10 * 1.5 550 = 40x + 15x Combine like terms: 40x + 15x = 55x 550 = 55x Solving 550 = 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. 550 + -55x = 55x + -55x Combine like terms: 55x + -55x = 0 550 + -55x = 0 Add '-550' to each side of the equation. 550 + -550 + -55x = 0 + -550 Combine like terms: 550 + -550 = 0 0 + -55x = 0 + -550 -55x = 0 + -550 Combine like terms: 0 + -550 = -550 -55x = -550 Divide each side by '-55'. x = 10 Simplifying x = 10
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