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Simplifying 0.07 + -0.02(x + 2) = -0.01(3 + -1x) Reorder the terms: 0.07 + -0.02(2 + x) = -0.01(3 + -1x) 0.07 + (2 * -0.02 + x * -0.02) = -0.01(3 + -1x) 0.07 + (-0.04 + -0.02x) = -0.01(3 + -1x) Combine like terms: 0.07 + -0.04 = 0.03 0.03 + -0.02x = -0.01(3 + -1x) 0.03 + -0.02x = (3 * -0.01 + -1x * -0.01) 0.03 + -0.02x = (-0.03 + 0.01x) Solving 0.03 + -0.02x = -0.03 + 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. 0.03 + -0.02x + -0.01x = -0.03 + 0.01x + -0.01x Combine like terms: -0.02x + -0.01x = -0.03x 0.03 + -0.03x = -0.03 + 0.01x + -0.01x Combine like terms: 0.01x + -0.01x = 0.00 0.03 + -0.03x = -0.03 + 0.00 0.03 + -0.03x = -0.03 Add '-0.03' to each side of the equation. 0.03 + -0.03 + -0.03x = -0.03 + -0.03 Combine like terms: 0.03 + -0.03 = 0.00 0.00 + -0.03x = -0.03 + -0.03 -0.03x = -0.03 + -0.03 Combine like terms: -0.03 + -0.03 = -0.06 -0.03x = -0.06 Divide each side by '-0.03'. x = 2 Simplifying x = 2
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