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Simplifying 0.05(10000) + 0.06x = 0.055(10000) + x Multiply 0.05 * 10000 500 + 0.06x = 0.055(10000) + x Multiply 0.055 * 10000 500 + 0.06x = 550 + x Solving 500 + 0.06x = 550 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 500 + 0.06x + -1x = 550 + x + -1x Combine like terms: 0.06x + -1x = -0.94x 500 + -0.94x = 550 + x + -1x Combine like terms: x + -1x = 0 500 + -0.94x = 550 + 0 500 + -0.94x = 550 Add '-500' to each side of the equation. 500 + -500 + -0.94x = 550 + -500 Combine like terms: 500 + -500 = 0 0 + -0.94x = 550 + -500 -0.94x = 550 + -500 Combine like terms: 550 + -500 = 50 -0.94x = 50 Divide each side by '-0.94'. x = -53.19148936 Simplifying x = -53.19148936
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