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Simplifying 0.055(x + 1000) = 0.06x + 0.04(1000) Reorder the terms: 0.055(1000 + x) = 0.06x + 0.04(1000) (1000 * 0.055 + x * 0.055) = 0.06x + 0.04(1000) (55 + 0.055x) = 0.06x + 0.04(1000) Multiply 0.04 * 1000 55 + 0.055x = 0.06x + 40 Reorder the terms: 55 + 0.055x = 40 + 0.06x Solving 55 + 0.055x = 40 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 55 + 0.055x + -0.06x = 40 + 0.06x + -0.06x Combine like terms: 0.055x + -0.06x = -0.005x 55 + -0.005x = 40 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 55 + -0.005x = 40 + 0.00 55 + -0.005x = 40 Add '-55' to each side of the equation. 55 + -55 + -0.005x = 40 + -55 Combine like terms: 55 + -55 = 0 0 + -0.005x = 40 + -55 -0.005x = 40 + -55 Combine like terms: 40 + -55 = -15 -0.005x = -15 Divide each side by '-0.005'. x = 3000 Simplifying x = 3000
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