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Simplifying 0.22 + -0.02(x + 2) = -0.04(3 + -1x) Reorder the terms: 0.22 + -0.02(2 + x) = -0.04(3 + -1x) 0.22 + (2 * -0.02 + x * -0.02) = -0.04(3 + -1x) 0.22 + (-0.04 + -0.02x) = -0.04(3 + -1x) Combine like terms: 0.22 + -0.04 = 0.18 0.18 + -0.02x = -0.04(3 + -1x) 0.18 + -0.02x = (3 * -0.04 + -1x * -0.04) 0.18 + -0.02x = (-0.12 + 0.04x) Solving 0.18 + -0.02x = -0.12 + 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. 0.18 + -0.02x + -0.04x = -0.12 + 0.04x + -0.04x Combine like terms: -0.02x + -0.04x = -0.06x 0.18 + -0.06x = -0.12 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 0.18 + -0.06x = -0.12 + 0.00 0.18 + -0.06x = -0.12 Add '-0.18' to each side of the equation. 0.18 + -0.18 + -0.06x = -0.12 + -0.18 Combine like terms: 0.18 + -0.18 = 0.00 0.00 + -0.06x = -0.12 + -0.18 -0.06x = -0.12 + -0.18 Combine like terms: -0.12 + -0.18 = -0.3 -0.06x = -0.3 Divide each side by '-0.06'. x = 5 Simplifying x = 5
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