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Simplifying 0.02(x + -2) = 0.06 + -0.01(x + 1) Reorder the terms: 0.02(-2 + x) = 0.06 + -0.01(x + 1) (-2 * 0.02 + x * 0.02) = 0.06 + -0.01(x + 1) (-0.04 + 0.02x) = 0.06 + -0.01(x + 1) Reorder the terms: -0.04 + 0.02x = 0.06 + -0.01(1 + x) -0.04 + 0.02x = 0.06 + (1 * -0.01 + x * -0.01) -0.04 + 0.02x = 0.06 + (-0.01 + -0.01x) Combine like terms: 0.06 + -0.01 = 0.05 -0.04 + 0.02x = 0.05 + -0.01x Solving -0.04 + 0.02x = 0.05 + -0.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.01x' to each side of the equation. -0.04 + 0.02x + 0.01x = 0.05 + -0.01x + 0.01x Combine like terms: 0.02x + 0.01x = 0.03x -0.04 + 0.03x = 0.05 + -0.01x + 0.01x Combine like terms: -0.01x + 0.01x = 0.00 -0.04 + 0.03x = 0.05 + 0.00 -0.04 + 0.03x = 0.05 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.03x = 0.05 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.03x = 0.05 + 0.04 0.03x = 0.05 + 0.04 Combine like terms: 0.05 + 0.04 = 0.09 0.03x = 0.09 Divide each side by '0.03'. x = 3 Simplifying x = 3
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