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Simplifying 0.01(500 + -10x) = 5.4x + 300 (500 * 0.01 + -10x * 0.01) = 5.4x + 300 (5 + -0.1x) = 5.4x + 300 Reorder the terms: 5 + -0.1x = 300 + 5.4x Solving 5 + -0.1x = 300 + 5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4x' to each side of the equation. 5 + -0.1x + -5.4x = 300 + 5.4x + -5.4x Combine like terms: -0.1x + -5.4x = -5.5x 5 + -5.5x = 300 + 5.4x + -5.4x Combine like terms: 5.4x + -5.4x = 0.0 5 + -5.5x = 300 + 0.0 5 + -5.5x = 300 Add '-5' to each side of the equation. 5 + -5 + -5.5x = 300 + -5 Combine like terms: 5 + -5 = 0 0 + -5.5x = 300 + -5 -5.5x = 300 + -5 Combine like terms: 300 + -5 = 295 -5.5x = 295 Divide each side by '-5.5'. x = -53.63636364 Simplifying x = -53.63636364
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