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Simplifying 0.08 + -0.02(x + 2) = 0.01(2 + -1x) Reorder the terms: 0.08 + -0.02(2 + x) = 0.01(2 + -1x) 0.08 + (2 * -0.02 + x * -0.02) = 0.01(2 + -1x) 0.08 + (-0.04 + -0.02x) = 0.01(2 + -1x) Combine like terms: 0.08 + -0.04 = 0.04 0.04 + -0.02x = 0.01(2 + -1x) 0.04 + -0.02x = (2 * 0.01 + -1x * 0.01) 0.04 + -0.02x = (0.02 + -0.01x) Solving 0.04 + -0.02x = 0.02 + -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. 0.04 + -0.02x + 0.01x = 0.02 + -0.01x + 0.01x Combine like terms: -0.02x + 0.01x = -0.01x 0.04 + -0.01x = 0.02 + -0.01x + 0.01x Combine like terms: -0.01x + 0.01x = 0.00 0.04 + -0.01x = 0.02 + 0.00 0.04 + -0.01x = 0.02 Add '-0.04' to each side of the equation. 0.04 + -0.04 + -0.01x = 0.02 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + -0.01x = 0.02 + -0.04 -0.01x = 0.02 + -0.04 Combine like terms: 0.02 + -0.04 = -0.02 -0.01x = -0.02 Divide each side by '-0.01'. x = 2 Simplifying x = 2
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