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Simplifying 0.1 + -0.02(x + 2) = 0.02(3 + -1x) Reorder the terms: 0.1 + -0.02(2 + x) = 0.02(3 + -1x) 0.1 + (2 * -0.02 + x * -0.02) = 0.02(3 + -1x) 0.1 + (-0.04 + -0.02x) = 0.02(3 + -1x) Combine like terms: 0.1 + -0.04 = 0.06 0.06 + -0.02x = 0.02(3 + -1x) 0.06 + -0.02x = (3 * 0.02 + -1x * 0.02) 0.06 + -0.02x = (0.06 + -0.02x) Add '-0.06' to each side of the equation. 0.06 + -0.06 + -0.02x = 0.06 + -0.06 + -0.02x Combine like terms: 0.06 + -0.06 = 0.00 0.00 + -0.02x = 0.06 + -0.06 + -0.02x -0.02x = 0.06 + -0.06 + -0.02x Combine like terms: 0.06 + -0.06 = 0.00 -0.02x = 0.00 + -0.02x -0.02x = -0.02x Add '0.02x' to each side of the equation. -0.02x + 0.02x = -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 0.00 = -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 0.00 = 0.00 Solving 0.00 = 0.00 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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