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Simplifying 0.12 + -0.03(x + 2) = 0.04(2 + -1x) Reorder the terms: 0.12 + -0.03(2 + x) = 0.04(2 + -1x) 0.12 + (2 * -0.03 + x * -0.03) = 0.04(2 + -1x) 0.12 + (-0.06 + -0.03x) = 0.04(2 + -1x) Combine like terms: 0.12 + -0.06 = 0.06 0.06 + -0.03x = 0.04(2 + -1x) 0.06 + -0.03x = (2 * 0.04 + -1x * 0.04) 0.06 + -0.03x = (0.08 + -0.04x) Solving 0.06 + -0.03x = 0.08 + -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. 0.06 + -0.03x + 0.04x = 0.08 + -0.04x + 0.04x Combine like terms: -0.03x + 0.04x = 0.01x 0.06 + 0.01x = 0.08 + -0.04x + 0.04x Combine like terms: -0.04x + 0.04x = 0.00 0.06 + 0.01x = 0.08 + 0.00 0.06 + 0.01x = 0.08 Add '-0.06' to each side of the equation. 0.06 + -0.06 + 0.01x = 0.08 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + 0.01x = 0.08 + -0.06 0.01x = 0.08 + -0.06 Combine like terms: 0.08 + -0.06 = 0.02 0.01x = 0.02 Divide each side by '0.01'. x = 2 Simplifying x = 2
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