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Simplifying 0.047(3000 + -1x) = -0.06(x + 900) (3000 * 0.047 + -1x * 0.047) = -0.06(x + 900) (141 + -0.047x) = -0.06(x + 900) Reorder the terms: 141 + -0.047x = -0.06(900 + x) 141 + -0.047x = (900 * -0.06 + x * -0.06) 141 + -0.047x = (-54 + -0.06x) Solving 141 + -0.047x = -54 + -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. 141 + -0.047x + 0.06x = -54 + -0.06x + 0.06x Combine like terms: -0.047x + 0.06x = 0.013x 141 + 0.013x = -54 + -0.06x + 0.06x Combine like terms: -0.06x + 0.06x = 0.00 141 + 0.013x = -54 + 0.00 141 + 0.013x = -54 Add '-141' to each side of the equation. 141 + -141 + 0.013x = -54 + -141 Combine like terms: 141 + -141 = 0 0 + 0.013x = -54 + -141 0.013x = -54 + -141 Combine like terms: -54 + -141 = -195 0.013x = -195 Divide each side by '0.013'. x = -15000 Simplifying x = -15000
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