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Simplifying 0.27 + -0.03(x + 1) = -0.03(2 + -1x) Reorder the terms: 0.27 + -0.03(1 + x) = -0.03(2 + -1x) 0.27 + (1 * -0.03 + x * -0.03) = -0.03(2 + -1x) 0.27 + (-0.03 + -0.03x) = -0.03(2 + -1x) Combine like terms: 0.27 + -0.03 = 0.24 0.24 + -0.03x = -0.03(2 + -1x) 0.24 + -0.03x = (2 * -0.03 + -1x * -0.03) 0.24 + -0.03x = (-0.06 + 0.03x) Solving 0.24 + -0.03x = -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. 0.24 + -0.03x + -0.03x = -0.06 + 0.03x + -0.03x Combine like terms: -0.03x + -0.03x = -0.06x 0.24 + -0.06x = -0.06 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 0.24 + -0.06x = -0.06 + 0.00 0.24 + -0.06x = -0.06 Add '-0.24' to each side of the equation. 0.24 + -0.24 + -0.06x = -0.06 + -0.24 Combine like terms: 0.24 + -0.24 = 0.00 0.00 + -0.06x = -0.06 + -0.24 -0.06x = -0.06 + -0.24 Combine like terms: -0.06 + -0.24 = -0.3 -0.06x = -0.3 Divide each side by '-0.06'. x = 5 Simplifying x = 5
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