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Simplifying 1000 + 0.13x = (3000 + x)(0.11) Reorder the terms for easier multiplication: 1000 + 0.13x = 0.11(3000 + x) 1000 + 0.13x = (3000 * 0.11 + x * 0.11) 1000 + 0.13x = (330 + 0.11x) Solving 1000 + 0.13x = 330 + 0.11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.11x' to each side of the equation. 1000 + 0.13x + -0.11x = 330 + 0.11x + -0.11x Combine like terms: 0.13x + -0.11x = 0.02x 1000 + 0.02x = 330 + 0.11x + -0.11x Combine like terms: 0.11x + -0.11x = 0.00 1000 + 0.02x = 330 + 0.00 1000 + 0.02x = 330 Add '-1000' to each side of the equation. 1000 + -1000 + 0.02x = 330 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 0.02x = 330 + -1000 0.02x = 330 + -1000 Combine like terms: 330 + -1000 = -670 0.02x = -670 Divide each side by '0.02'. x = -33500 Simplifying x = -33500
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