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Simplifying 0.1 + -0.03(x + 3) = -0.05(3 + -1x) Reorder the terms: 0.1 + -0.03(3 + x) = -0.05(3 + -1x) 0.1 + (3 * -0.03 + x * -0.03) = -0.05(3 + -1x) 0.1 + (-0.09 + -0.03x) = -0.05(3 + -1x) Combine like terms: 0.1 + -0.09 = 0.01 0.01 + -0.03x = -0.05(3 + -1x) 0.01 + -0.03x = (3 * -0.05 + -1x * -0.05) 0.01 + -0.03x = (-0.15 + 0.05x) Solving 0.01 + -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. 0.01 + -0.03x + -0.05x = -0.15 + 0.05x + -0.05x Combine like terms: -0.03x + -0.05x = -0.08x 0.01 + -0.08x = -0.15 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.01 + -0.08x = -0.15 + 0.00 0.01 + -0.08x = -0.15 Add '-0.01' to each side of the equation. 0.01 + -0.01 + -0.08x = -0.15 + -0.01 Combine like terms: 0.01 + -0.01 = 0.00 0.00 + -0.08x = -0.15 + -0.01 -0.08x = -0.15 + -0.01 Combine like terms: -0.15 + -0.01 = -0.16 -0.08x = -0.16 Divide each side by '-0.08'. x = 2 Simplifying x = 2
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