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Simplifying 0.28 + -0.01(x + 3) = 0.05(1 + -1x) Reorder the terms: 0.28 + -0.01(3 + x) = 0.05(1 + -1x) 0.28 + (3 * -0.01 + x * -0.01) = 0.05(1 + -1x) 0.28 + (-0.03 + -0.01x) = 0.05(1 + -1x) Combine like terms: 0.28 + -0.03 = 0.25 0.25 + -0.01x = 0.05(1 + -1x) 0.25 + -0.01x = (1 * 0.05 + -1x * 0.05) 0.25 + -0.01x = (0.05 + -0.05x) Solving 0.25 + -0.01x = 0.05 + -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. 0.25 + -0.01x + 0.05x = 0.05 + -0.05x + 0.05x Combine like terms: -0.01x + 0.05x = 0.04x 0.25 + 0.04x = 0.05 + -0.05x + 0.05x Combine like terms: -0.05x + 0.05x = 0.00 0.25 + 0.04x = 0.05 + 0.00 0.25 + 0.04x = 0.05 Add '-0.25' to each side of the equation. 0.25 + -0.25 + 0.04x = 0.05 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.04x = 0.05 + -0.25 0.04x = 0.05 + -0.25 Combine like terms: 0.05 + -0.25 = -0.2 0.04x = -0.2 Divide each side by '0.04'. x = -5 Simplifying x = -5
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