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Simplifying 0.143 = 0.13x + 0.15(1 + -1x) 0.143 = 0.13x + (1 * 0.15 + -1x * 0.15) 0.143 = 0.13x + (0.15 + -0.15x) Reorder the terms: 0.143 = 0.15 + 0.13x + -0.15x Combine like terms: 0.13x + -0.15x = -0.02x 0.143 = 0.15 + -0.02x Solving 0.143 = 0.15 + -0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.02x' to each side of the equation. 0.143 + 0.02x = 0.15 + -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 0.143 + 0.02x = 0.15 + 0.00 0.143 + 0.02x = 0.15 Add '-0.143' to each side of the equation. 0.143 + -0.143 + 0.02x = 0.15 + -0.143 Combine like terms: 0.143 + -0.143 = 0.000 0.000 + 0.02x = 0.15 + -0.143 0.02x = 0.15 + -0.143 Combine like terms: 0.15 + -0.143 = 0.007 0.02x = 0.007 Divide each side by '0.02'. x = 0.35 Simplifying x = 0.35
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