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Simplifying 0.4(x + 100) = 0.48x + -560 Reorder the terms: 0.4(100 + x) = 0.48x + -560 (100 * 0.4 + x * 0.4) = 0.48x + -560 (40 + 0.4x) = 0.48x + -560 Reorder the terms: 40 + 0.4x = -560 + 0.48x Solving 40 + 0.4x = -560 + 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. 40 + 0.4x + -0.48x = -560 + 0.48x + -0.48x Combine like terms: 0.4x + -0.48x = -0.08x 40 + -0.08x = -560 + 0.48x + -0.48x Combine like terms: 0.48x + -0.48x = 0.00 40 + -0.08x = -560 + 0.00 40 + -0.08x = -560 Add '-40' to each side of the equation. 40 + -40 + -0.08x = -560 + -40 Combine like terms: 40 + -40 = 0 0 + -0.08x = -560 + -40 -0.08x = -560 + -40 Combine like terms: -560 + -40 = -600 -0.08x = -600 Divide each side by '-0.08'. x = 7500 Simplifying x = 7500
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