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Simplifying 0.02 + -0.02(x + 3) = -0.03(3 + -1x) Reorder the terms: 0.02 + -0.02(3 + x) = -0.03(3 + -1x) 0.02 + (3 * -0.02 + x * -0.02) = -0.03(3 + -1x) 0.02 + (-0.06 + -0.02x) = -0.03(3 + -1x) Combine like terms: 0.02 + -0.06 = -0.04 -0.04 + -0.02x = -0.03(3 + -1x) -0.04 + -0.02x = (3 * -0.03 + -1x * -0.03) -0.04 + -0.02x = (-0.09 + 0.03x) Solving -0.04 + -0.02x = -0.09 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -0.04 + -0.02x + -0.03x = -0.09 + 0.03x + -0.03x Combine like terms: -0.02x + -0.03x = -0.05x -0.04 + -0.05x = -0.09 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.04 + -0.05x = -0.09 + 0.00 -0.04 + -0.05x = -0.09 Add '0.04' to each side of the equation. -0.04 + 0.04 + -0.05x = -0.09 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + -0.05x = -0.09 + 0.04 -0.05x = -0.09 + 0.04 Combine like terms: -0.09 + 0.04 = -0.05 -0.05x = -0.05 Divide each side by '-0.05'. x = 1 Simplifying x = 1
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