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Simplifying 0.2 + -0.02(x + 3) = 0.01(1 + -1x) Reorder the terms: 0.2 + -0.02(3 + x) = 0.01(1 + -1x) 0.2 + (3 * -0.02 + x * -0.02) = 0.01(1 + -1x) 0.2 + (-0.06 + -0.02x) = 0.01(1 + -1x) Combine like terms: 0.2 + -0.06 = 0.14 0.14 + -0.02x = 0.01(1 + -1x) 0.14 + -0.02x = (1 * 0.01 + -1x * 0.01) 0.14 + -0.02x = (0.01 + -0.01x) Solving 0.14 + -0.02x = 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. 0.14 + -0.02x + 0.01x = 0.01 + -0.01x + 0.01x Combine like terms: -0.02x + 0.01x = -0.01x 0.14 + -0.01x = 0.01 + -0.01x + 0.01x Combine like terms: -0.01x + 0.01x = 0.00 0.14 + -0.01x = 0.01 + 0.00 0.14 + -0.01x = 0.01 Add '-0.14' to each side of the equation. 0.14 + -0.14 + -0.01x = 0.01 + -0.14 Combine like terms: 0.14 + -0.14 = 0.00 0.00 + -0.01x = 0.01 + -0.14 -0.01x = 0.01 + -0.14 Combine like terms: 0.01 + -0.14 = -0.13 -0.01x = -0.13 Divide each side by '-0.01'. x = 13 Simplifying x = 13
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