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Simplifying 0.24 + -0.03(x + 3) = -0.03(1 + -1x) Reorder the terms: 0.24 + -0.03(3 + x) = -0.03(1 + -1x) 0.24 + (3 * -0.03 + x * -0.03) = -0.03(1 + -1x) 0.24 + (-0.09 + -0.03x) = -0.03(1 + -1x) Combine like terms: 0.24 + -0.09 = 0.15 0.15 + -0.03x = -0.03(1 + -1x) 0.15 + -0.03x = (1 * -0.03 + -1x * -0.03) 0.15 + -0.03x = (-0.03 + 0.03x) Solving 0.15 + -0.03x = -0.03 + 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. 0.15 + -0.03x + -0.03x = -0.03 + 0.03x + -0.03x Combine like terms: -0.03x + -0.03x = -0.06x 0.15 + -0.06x = -0.03 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 0.15 + -0.06x = -0.03 + 0.00 0.15 + -0.06x = -0.03 Add '-0.15' to each side of the equation. 0.15 + -0.15 + -0.06x = -0.03 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + -0.06x = -0.03 + -0.15 -0.06x = -0.03 + -0.15 Combine like terms: -0.03 + -0.15 = -0.18 -0.06x = -0.18 Divide each side by '-0.06'. x = 3 Simplifying x = 3
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