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Simplifying 0.1 + 0.0(x + 2) = 0.02(2 + -1x) Reorder the terms: 0.1 + 0.0(2 + x) = 0.02(2 + -1x) Anything times zero is zero. 0.1 + 0.0(2 + x) = 0.02(2 + -1x) Combine like terms: 0.1 + 0.0 = 0.1 0.1 = 0.02(2 + -1x) 0.1 = (2 * 0.02 + -1x * 0.02) 0.1 = (0.04 + -0.02x) Solving 0.1 = 0.04 + -0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.02x' to each side of the equation. 0.1 + 0.02x = 0.04 + -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 0.1 + 0.02x = 0.04 + 0.00 0.1 + 0.02x = 0.04 Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.02x = 0.04 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.02x = 0.04 + -0.1 0.02x = 0.04 + -0.1 Combine like terms: 0.04 + -0.1 = -0.06 0.02x = -0.06 Divide each side by '0.02'. x = -3 Simplifying x = -3
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