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Simplifying 0.12 + -0.1(x + 2) = 0.03(2 + -1x) Reorder the terms: 0.12 + -0.1(2 + x) = 0.03(2 + -1x) 0.12 + (2 * -0.1 + x * -0.1) = 0.03(2 + -1x) 0.12 + (-0.2 + -0.1x) = 0.03(2 + -1x) Combine like terms: 0.12 + -0.2 = -0.08 -0.08 + -0.1x = 0.03(2 + -1x) -0.08 + -0.1x = (2 * 0.03 + -1x * 0.03) -0.08 + -0.1x = (0.06 + -0.03x) Solving -0.08 + -0.1x = 0.06 + -0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.03x' to each side of the equation. -0.08 + -0.1x + 0.03x = 0.06 + -0.03x + 0.03x Combine like terms: -0.1x + 0.03x = -0.07x -0.08 + -0.07x = 0.06 + -0.03x + 0.03x Combine like terms: -0.03x + 0.03x = 0.00 -0.08 + -0.07x = 0.06 + 0.00 -0.08 + -0.07x = 0.06 Add '0.08' to each side of the equation. -0.08 + 0.08 + -0.07x = 0.06 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + -0.07x = 0.06 + 0.08 -0.07x = 0.06 + 0.08 Combine like terms: 0.06 + 0.08 = 0.14 -0.07x = 0.14 Divide each side by '-0.07'. x = -2 Simplifying x = -2
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