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Simplifying 40x + 4(2x) + 6(1.5x) = 456 Remove parenthesis around (2x) 40x + 4 * 2x + 6(1.5x) = 456 Multiply 4 * 2 40x + 8x + 6(1.5x) = 456 Remove parenthesis around (1.5x) 40x + 8x + 6 * 1.5x = 456 Multiply 6 * 1.5 40x + 8x + 9x = 456 Combine like terms: 40x + 8x = 48x 48x + 9x = 456 Combine like terms: 48x + 9x = 57x 57x = 456 Solving 57x = 456 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '57'. x = 8 Simplifying x = 8
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