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Simplifying 0.06(x + 5) = 0.3(2x + 7) + 0.09 Reorder the terms: 0.06(5 + x) = 0.3(2x + 7) + 0.09 (5 * 0.06 + x * 0.06) = 0.3(2x + 7) + 0.09 (0.3 + 0.06x) = 0.3(2x + 7) + 0.09 Reorder the terms: 0.3 + 0.06x = 0.3(7 + 2x) + 0.09 0.3 + 0.06x = (7 * 0.3 + 2x * 0.3) + 0.09 0.3 + 0.06x = (2.1 + 0.6x) + 0.09 Reorder the terms: 0.3 + 0.06x = 2.1 + 0.09 + 0.6x Combine like terms: 2.1 + 0.09 = 2.19 0.3 + 0.06x = 2.19 + 0.6x Solving 0.3 + 0.06x = 2.19 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 0.3 + 0.06x + -0.6x = 2.19 + 0.6x + -0.6x Combine like terms: 0.06x + -0.6x = -0.54x 0.3 + -0.54x = 2.19 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 0.3 + -0.54x = 2.19 + 0.0 0.3 + -0.54x = 2.19 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -0.54x = 2.19 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.54x = 2.19 + -0.3 -0.54x = 2.19 + -0.3 Combine like terms: 2.19 + -0.3 = 1.89 -0.54x = 1.89 Divide each side by '-0.54'. x = -3.5 Simplifying x = -3.5
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