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Simplifying 0.3 = 0.02(x + -3) + 0.05(x + 3) Reorder the terms: 0.3 = 0.02(-3 + x) + 0.05(x + 3) 0.3 = (-3 * 0.02 + x * 0.02) + 0.05(x + 3) 0.3 = (-0.06 + 0.02x) + 0.05(x + 3) Reorder the terms: 0.3 = -0.06 + 0.02x + 0.05(3 + x) 0.3 = -0.06 + 0.02x + (3 * 0.05 + x * 0.05) 0.3 = -0.06 + 0.02x + (0.15 + 0.05x) Reorder the terms: 0.3 = -0.06 + 0.15 + 0.02x + 0.05x Combine like terms: -0.06 + 0.15 = 0.09 0.3 = 0.09 + 0.02x + 0.05x Combine like terms: 0.02x + 0.05x = 0.07x 0.3 = 0.09 + 0.07x Solving 0.3 = 0.09 + 0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.07x' to each side of the equation. 0.3 + -0.07x = 0.09 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 0.3 + -0.07x = 0.09 + 0.00 0.3 + -0.07x = 0.09 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -0.07x = 0.09 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.07x = 0.09 + -0.3 -0.07x = 0.09 + -0.3 Combine like terms: 0.09 + -0.3 = -0.21 -0.07x = -0.21 Divide each side by '-0.07'. x = 3 Simplifying x = 3
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