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Simplifying 0.01 + -0.01(x + 2) = -0.03(3 + -1x) Reorder the terms: 0.01 + -0.01(2 + x) = -0.03(3 + -1x) 0.01 + (2 * -0.01 + x * -0.01) = -0.03(3 + -1x) 0.01 + (-0.02 + -0.01x) = -0.03(3 + -1x) Combine like terms: 0.01 + -0.02 = -0.01 -0.01 + -0.01x = -0.03(3 + -1x) -0.01 + -0.01x = (3 * -0.03 + -1x * -0.03) -0.01 + -0.01x = (-0.09 + 0.03x) Solving -0.01 + -0.01x = -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. -0.01 + -0.01x + -0.03x = -0.09 + 0.03x + -0.03x Combine like terms: -0.01x + -0.03x = -0.04x -0.01 + -0.04x = -0.09 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.01 + -0.04x = -0.09 + 0.00 -0.01 + -0.04x = -0.09 Add '0.01' to each side of the equation. -0.01 + 0.01 + -0.04x = -0.09 + 0.01 Combine like terms: -0.01 + 0.01 = 0.00 0.00 + -0.04x = -0.09 + 0.01 -0.04x = -0.09 + 0.01 Combine like terms: -0.09 + 0.01 = -0.08 -0.04x = -0.08 Divide each side by '-0.04'. x = 2 Simplifying x = 2
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