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Simplifying 0.16 + -0.01(x + 2) = 0.03(2 + -1x) Reorder the terms: 0.16 + -0.01(2 + x) = 0.03(2 + -1x) 0.16 + (2 * -0.01 + x * -0.01) = 0.03(2 + -1x) 0.16 + (-0.02 + -0.01x) = 0.03(2 + -1x) Combine like terms: 0.16 + -0.02 = 0.14 0.14 + -0.01x = 0.03(2 + -1x) 0.14 + -0.01x = (2 * 0.03 + -1x * 0.03) 0.14 + -0.01x = (0.06 + -0.03x) Solving 0.14 + -0.01x = 0.06 + -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. 0.14 + -0.01x + 0.03x = 0.06 + -0.03x + 0.03x Combine like terms: -0.01x + 0.03x = 0.02x 0.14 + 0.02x = 0.06 + -0.03x + 0.03x Combine like terms: -0.03x + 0.03x = 0.00 0.14 + 0.02x = 0.06 + 0.00 0.14 + 0.02x = 0.06 Add '-0.14' to each side of the equation. 0.14 + -0.14 + 0.02x = 0.06 + -0.14 Combine like terms: 0.14 + -0.14 = 0.00 0.00 + 0.02x = 0.06 + -0.14 0.02x = 0.06 + -0.14 Combine like terms: 0.06 + -0.14 = -0.08 0.02x = -0.08 Divide each side by '0.02'. x = -4 Simplifying x = -4
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