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Simplifying 0.4(x + 300) = 0.48x + -448 Reorder the terms: 0.4(300 + x) = 0.48x + -448 (300 * 0.4 + x * 0.4) = 0.48x + -448 (120 + 0.4x) = 0.48x + -448 Reorder the terms: 120 + 0.4x = -448 + 0.48x Solving 120 + 0.4x = -448 + 0.48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.48x' to each side of the equation. 120 + 0.4x + -0.48x = -448 + 0.48x + -0.48x Combine like terms: 0.4x + -0.48x = -0.08x 120 + -0.08x = -448 + 0.48x + -0.48x Combine like terms: 0.48x + -0.48x = 0.00 120 + -0.08x = -448 + 0.00 120 + -0.08x = -448 Add '-120' to each side of the equation. 120 + -120 + -0.08x = -448 + -120 Combine like terms: 120 + -120 = 0 0 + -0.08x = -448 + -120 -0.08x = -448 + -120 Combine like terms: -448 + -120 = -568 -0.08x = -568 Divide each side by '-0.08'. x = 7100 Simplifying x = 7100
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