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Simplifying 0.12 + -0.04(x + 1) = -0.02(2 + -1x) Reorder the terms: 0.12 + -0.04(1 + x) = -0.02(2 + -1x) 0.12 + (1 * -0.04 + x * -0.04) = -0.02(2 + -1x) 0.12 + (-0.04 + -0.04x) = -0.02(2 + -1x) Combine like terms: 0.12 + -0.04 = 0.08 0.08 + -0.04x = -0.02(2 + -1x) 0.08 + -0.04x = (2 * -0.02 + -1x * -0.02) 0.08 + -0.04x = (-0.04 + 0.02x) Solving 0.08 + -0.04x = -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. 0.08 + -0.04x + -0.02x = -0.04 + 0.02x + -0.02x Combine like terms: -0.04x + -0.02x = -0.06x 0.08 + -0.06x = -0.04 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 0.08 + -0.06x = -0.04 + 0.00 0.08 + -0.06x = -0.04 Add '-0.08' to each side of the equation. 0.08 + -0.08 + -0.06x = -0.04 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + -0.06x = -0.04 + -0.08 -0.06x = -0.04 + -0.08 Combine like terms: -0.04 + -0.08 = -0.12 -0.06x = -0.12 Divide each side by '-0.06'. x = 2 Simplifying x = 2
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