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Simplifying 1150 = 40x + 10(1.5x) Remove parenthesis around (1.5x) 1150 = 40x + 10 * 1.5x Multiply 10 * 1.5 1150 = 40x + 15x Combine like terms: 40x + 15x = 55x 1150 = 55x Solving 1150 = 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. 1150 + -55x = 55x + -55x Combine like terms: 55x + -55x = 0 1150 + -55x = 0 Add '-1150' to each side of the equation. 1150 + -1150 + -55x = 0 + -1150 Combine like terms: 1150 + -1150 = 0 0 + -55x = 0 + -1150 -55x = 0 + -1150 Combine like terms: 0 + -1150 = -1150 -55x = -1150 Divide each side by '-55'. x = 20.90909091 Simplifying x = 20.90909091
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