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Simplifying 0.32 + -0.02(x + 3) = -0.04(1 + -1x) Reorder the terms: 0.32 + -0.02(3 + x) = -0.04(1 + -1x) 0.32 + (3 * -0.02 + x * -0.02) = -0.04(1 + -1x) 0.32 + (-0.06 + -0.02x) = -0.04(1 + -1x) Combine like terms: 0.32 + -0.06 = 0.26 0.26 + -0.02x = -0.04(1 + -1x) 0.26 + -0.02x = (1 * -0.04 + -1x * -0.04) 0.26 + -0.02x = (-0.04 + 0.04x) Solving 0.26 + -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. 0.26 + -0.02x + -0.04x = -0.04 + 0.04x + -0.04x Combine like terms: -0.02x + -0.04x = -0.06x 0.26 + -0.06x = -0.04 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 0.26 + -0.06x = -0.04 + 0.00 0.26 + -0.06x = -0.04 Add '-0.26' to each side of the equation. 0.26 + -0.26 + -0.06x = -0.04 + -0.26 Combine like terms: 0.26 + -0.26 = 0.00 0.00 + -0.06x = -0.04 + -0.26 -0.06x = -0.04 + -0.26 Combine like terms: -0.04 + -0.26 = -0.3 -0.06x = -0.3 Divide each side by '-0.06'. x = 5 Simplifying x = 5
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