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Simplifying 0.12x + 0.06(3 + -1x) = 0.09(x + -1) 0.12x + (3 * 0.06 + -1x * 0.06) = 0.09(x + -1) 0.12x + (0.18 + -0.06x) = 0.09(x + -1) Reorder the terms: 0.18 + 0.12x + -0.06x = 0.09(x + -1) Combine like terms: 0.12x + -0.06x = 0.06x 0.18 + 0.06x = 0.09(x + -1) Reorder the terms: 0.18 + 0.06x = 0.09(-1 + x) 0.18 + 0.06x = (-1 * 0.09 + x * 0.09) 0.18 + 0.06x = (-0.09 + 0.09x) Solving 0.18 + 0.06x = -0.09 + 0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.09x' to each side of the equation. 0.18 + 0.06x + -0.09x = -0.09 + 0.09x + -0.09x Combine like terms: 0.06x + -0.09x = -0.03x 0.18 + -0.03x = -0.09 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 0.18 + -0.03x = -0.09 + 0.00 0.18 + -0.03x = -0.09 Add '-0.18' to each side of the equation. 0.18 + -0.18 + -0.03x = -0.09 + -0.18 Combine like terms: 0.18 + -0.18 = 0.00 0.00 + -0.03x = -0.09 + -0.18 -0.03x = -0.09 + -0.18 Combine like terms: -0.09 + -0.18 = -0.27 -0.03x = -0.27 Divide each side by '-0.03'. x = 9 Simplifying x = 9
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