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Simplifying 0.5x + 150 = -0.822581x + 184.194 Reorder the terms: 150 + 0.5x = -0.822581x + 184.194 Reorder the terms: 150 + 0.5x = 184.194 + -0.822581x Solving 150 + 0.5x = 184.194 + -0.822581x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.822581x' to each side of the equation. 150 + 0.5x + 0.822581x = 184.194 + -0.822581x + 0.822581x Combine like terms: 0.5x + 0.822581x = 1.322581x 150 + 1.322581x = 184.194 + -0.822581x + 0.822581x Combine like terms: -0.822581x + 0.822581x = 0.000000 150 + 1.322581x = 184.194 + 0.000000 150 + 1.322581x = 184.194 Add '-150' to each side of the equation. 150 + -150 + 1.322581x = 184.194 + -150 Combine like terms: 150 + -150 = 0 0 + 1.322581x = 184.194 + -150 1.322581x = 184.194 + -150 Combine like terms: 184.194 + -150 = 34.194 1.322581x = 34.194 Divide each side by '1.322581'. x = 25.85399306 Simplifying x = 25.85399306
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