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Simplifying 0.18 + -0.2(x + 2) = -0.02(3 + -1x) Reorder the terms: 0.18 + -0.2(2 + x) = -0.02(3 + -1x) 0.18 + (2 * -0.2 + x * -0.2) = -0.02(3 + -1x) 0.18 + (-0.4 + -0.2x) = -0.02(3 + -1x) Combine like terms: 0.18 + -0.4 = -0.22 -0.22 + -0.2x = -0.02(3 + -1x) -0.22 + -0.2x = (3 * -0.02 + -1x * -0.02) -0.22 + -0.2x = (-0.06 + 0.02x) Solving -0.22 + -0.2x = -0.06 + 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. -0.22 + -0.2x + -0.02x = -0.06 + 0.02x + -0.02x Combine like terms: -0.2x + -0.02x = -0.22x -0.22 + -0.22x = -0.06 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.22 + -0.22x = -0.06 + 0.00 -0.22 + -0.22x = -0.06 Add '0.22' to each side of the equation. -0.22 + 0.22 + -0.22x = -0.06 + 0.22 Combine like terms: -0.22 + 0.22 = 0.00 0.00 + -0.22x = -0.06 + 0.22 -0.22x = -0.06 + 0.22 Combine like terms: -0.06 + 0.22 = 0.16 -0.22x = 0.16 Divide each side by '-0.22'. x = -0.7272727273 Simplifying x = -0.7272727273
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