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Simplifying 0.02 + -0.03(x + 3) = 0.05(3 + -1x) Reorder the terms: 0.02 + -0.03(3 + x) = 0.05(3 + -1x) 0.02 + (3 * -0.03 + x * -0.03) = 0.05(3 + -1x) 0.02 + (-0.09 + -0.03x) = 0.05(3 + -1x) Combine like terms: 0.02 + -0.09 = -0.07 -0.07 + -0.03x = 0.05(3 + -1x) -0.07 + -0.03x = (3 * 0.05 + -1x * 0.05) -0.07 + -0.03x = (0.15 + -0.05x) Solving -0.07 + -0.03x = 0.15 + -0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05x' to each side of the equation. -0.07 + -0.03x + 0.05x = 0.15 + -0.05x + 0.05x Combine like terms: -0.03x + 0.05x = 0.02x -0.07 + 0.02x = 0.15 + -0.05x + 0.05x Combine like terms: -0.05x + 0.05x = 0.00 -0.07 + 0.02x = 0.15 + 0.00 -0.07 + 0.02x = 0.15 Add '0.07' to each side of the equation. -0.07 + 0.07 + 0.02x = 0.15 + 0.07 Combine like terms: -0.07 + 0.07 = 0.00 0.00 + 0.02x = 0.15 + 0.07 0.02x = 0.15 + 0.07 Combine like terms: 0.15 + 0.07 = 0.22 0.02x = 0.22 Divide each side by '0.02'. x = 11 Simplifying x = 11
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