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Simplifying [2x(4)] + [1.5x(6)] + [x(40)] = 456 Reorder the terms for easier multiplication: [2 * 4x] + [1.5x(6)] + [x(40)] = 456 Multiply 2 * 4 [8x] + [1.5x(6)] + [x(40)] = 456 Reorder the terms for easier multiplication: [8x] + [1.5 * 6x] + [x(40)] = 456 Multiply 1.5 * 6 [8x] + [9x] + [x(40)] = 456 Reorder the terms for easier multiplication: [8x] + [9x] + [40x] = 456 Combine like terms: [8x] + [9x] = 17x 17x + [40x] = 456 Combine like terms: 17x + [40x] = 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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