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Simplifying 40 + 4(1.5x) = 460 Remove parenthesis around (1.5x) 40 + 4 * 1.5x = 460 Multiply 4 * 1.5 40 + 6x = 460 Solving 40 + 6x = 460 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 6x = 460 + -40 Combine like terms: 40 + -40 = 0 0 + 6x = 460 + -40 6x = 460 + -40 Combine like terms: 460 + -40 = 420 6x = 420 Divide each side by '6'. x = 70 Simplifying x = 70
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