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Simplifying 0.06 + -0.03(x + 1) = 0.01(1 + -1x) Reorder the terms: 0.06 + -0.03(1 + x) = 0.01(1 + -1x) 0.06 + (1 * -0.03 + x * -0.03) = 0.01(1 + -1x) 0.06 + (-0.03 + -0.03x) = 0.01(1 + -1x) Combine like terms: 0.06 + -0.03 = 0.03 0.03 + -0.03x = 0.01(1 + -1x) 0.03 + -0.03x = (1 * 0.01 + -1x * 0.01) 0.03 + -0.03x = (0.01 + -0.01x) Solving 0.03 + -0.03x = 0.01 + -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. 0.03 + -0.03x + 0.01x = 0.01 + -0.01x + 0.01x Combine like terms: -0.03x + 0.01x = -0.02x 0.03 + -0.02x = 0.01 + -0.01x + 0.01x Combine like terms: -0.01x + 0.01x = 0.00 0.03 + -0.02x = 0.01 + 0.00 0.03 + -0.02x = 0.01 Add '-0.03' to each side of the equation. 0.03 + -0.03 + -0.02x = 0.01 + -0.03 Combine like terms: 0.03 + -0.03 = 0.00 0.00 + -0.02x = 0.01 + -0.03 -0.02x = 0.01 + -0.03 Combine like terms: 0.01 + -0.03 = -0.02 -0.02x = -0.02 Divide each side by '-0.02'. x = 1 Simplifying x = 1
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