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Simplifying 0.6(x + 100) = 0.64x + -240 Reorder the terms: 0.6(100 + x) = 0.64x + -240 (100 * 0.6 + x * 0.6) = 0.64x + -240 (60 + 0.6x) = 0.64x + -240 Reorder the terms: 60 + 0.6x = -240 + 0.64x Solving 60 + 0.6x = -240 + 0.64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.64x' to each side of the equation. 60 + 0.6x + -0.64x = -240 + 0.64x + -0.64x Combine like terms: 0.6x + -0.64x = -0.04x 60 + -0.04x = -240 + 0.64x + -0.64x Combine like terms: 0.64x + -0.64x = 0.00 60 + -0.04x = -240 + 0.00 60 + -0.04x = -240 Add '-60' to each side of the equation. 60 + -60 + -0.04x = -240 + -60 Combine like terms: 60 + -60 = 0 0 + -0.04x = -240 + -60 -0.04x = -240 + -60 Combine like terms: -240 + -60 = -300 -0.04x = -300 Divide each side by '-0.04'. x = 7500 Simplifying x = 7500
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