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Simplifying 0.14 + -0.02(x + 3) = -0.04(1 + -1x) Reorder the terms: 0.14 + -0.02(3 + x) = -0.04(1 + -1x) 0.14 + (3 * -0.02 + x * -0.02) = -0.04(1 + -1x) 0.14 + (-0.06 + -0.02x) = -0.04(1 + -1x) Combine like terms: 0.14 + -0.06 = 0.08 0.08 + -0.02x = -0.04(1 + -1x) 0.08 + -0.02x = (1 * -0.04 + -1x * -0.04) 0.08 + -0.02x = (-0.04 + 0.04x) Solving 0.08 + -0.02x = -0.04 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. 0.08 + -0.02x + -0.04x = -0.04 + 0.04x + -0.04x Combine like terms: -0.02x + -0.04x = -0.06x 0.08 + -0.06x = -0.04 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 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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