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Simplifying 0.04x + 1 = -0.05x + 14 Reorder the terms: 1 + 0.04x = -0.05x + 14 Reorder the terms: 1 + 0.04x = 14 + -0.05x Solving 1 + 0.04x = 14 + -0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05x' to each side of the equation. 1 + 0.04x + 0.05x = 14 + -0.05x + 0.05x Combine like terms: 0.04x + 0.05x = 0.09x 1 + 0.09x = 14 + -0.05x + 0.05x Combine like terms: -0.05x + 0.05x = 0.00 1 + 0.09x = 14 + 0.00 1 + 0.09x = 14 Add '-1' to each side of the equation. 1 + -1 + 0.09x = 14 + -1 Combine like terms: 1 + -1 = 0 0 + 0.09x = 14 + -1 0.09x = 14 + -1 Combine like terms: 14 + -1 = 13 0.09x = 13 Divide each side by '0.09'. x = 144.4444444 Simplifying x = 144.4444444
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