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Simplifying 0.06 + -0.01(x + 1) = -0.01(3 + -1x) Reorder the terms: 0.06 + -0.01(1 + x) = -0.01(3 + -1x) 0.06 + (1 * -0.01 + x * -0.01) = -0.01(3 + -1x) 0.06 + (-0.01 + -0.01x) = -0.01(3 + -1x) Combine like terms: 0.06 + -0.01 = 0.05 0.05 + -0.01x = -0.01(3 + -1x) 0.05 + -0.01x = (3 * -0.01 + -1x * -0.01) 0.05 + -0.01x = (-0.03 + 0.01x) Solving 0.05 + -0.01x = -0.03 + 0.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.01x' to each side of the equation. 0.05 + -0.01x + -0.01x = -0.03 + 0.01x + -0.01x Combine like terms: -0.01x + -0.01x = -0.02x 0.05 + -0.02x = -0.03 + 0.01x + -0.01x Combine like terms: 0.01x + -0.01x = 0.00 0.05 + -0.02x = -0.03 + 0.00 0.05 + -0.02x = -0.03 Add '-0.05' to each side of the equation. 0.05 + -0.05 + -0.02x = -0.03 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + -0.02x = -0.03 + -0.05 -0.02x = -0.03 + -0.05 Combine like terms: -0.03 + -0.05 = -0.08 -0.02x = -0.08 Divide each side by '-0.02'. x = 4 Simplifying x = 4
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