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Simplifying (x + 4 * 74) * 0.5 = 7x Multiply 4 * 74 (x + 296) * 0.5 = 7x Reorder the terms: (296 + x) * 0.5 = 7x Reorder the terms for easier multiplication: 0.5(296 + x) = 7x (296 * 0.5 + x * 0.5) = 7x (148 + 0.5x) = 7x Solving 148 + 0.5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 148 + 0.5x + -7x = 7x + -7x Combine like terms: 0.5x + -7x = -6.5x 148 + -6.5x = 7x + -7x Combine like terms: 7x + -7x = 0 148 + -6.5x = 0 Add '-148' to each side of the equation. 148 + -148 + -6.5x = 0 + -148 Combine like terms: 148 + -148 = 0 0 + -6.5x = 0 + -148 -6.5x = 0 + -148 Combine like terms: 0 + -148 = -148 -6.5x = -148 Divide each side by '-6.5'. x = 22.76923077 Simplifying x = 22.76923077
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