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Simplifying 0.06 + 0.0(x + 1) = -0.02(2 + -1x) Reorder the terms: 0.06 + 0.0(1 + x) = -0.02(2 + -1x) Anything times zero is zero. 0.06 + 0.0(1 + x) = -0.02(2 + -1x) Combine like terms: 0.06 + 0.0 = 0.06 0.06 = -0.02(2 + -1x) 0.06 = (2 * -0.02 + -1x * -0.02) 0.06 = (-0.04 + 0.02x) Solving 0.06 = -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. 0.06 + -0.02x = -0.04 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 0.06 + -0.02x = -0.04 + 0.00 0.06 + -0.02x = -0.04 Add '-0.06' to each side of the equation. 0.06 + -0.06 + -0.02x = -0.04 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + -0.02x = -0.04 + -0.06 -0.02x = -0.04 + -0.06 Combine like terms: -0.04 + -0.06 = -0.1 -0.02x = -0.1 Divide each side by '-0.02'. x = 5 Simplifying x = 5
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