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Simplifying 0.02(2x + -5) = 0.04(x + 7) + -0.38 Reorder the terms: 0.02(-5 + 2x) = 0.04(x + 7) + -0.38 (-5 * 0.02 + 2x * 0.02) = 0.04(x + 7) + -0.38 (-0.1 + 0.04x) = 0.04(x + 7) + -0.38 Reorder the terms: -0.1 + 0.04x = 0.04(7 + x) + -0.38 -0.1 + 0.04x = (7 * 0.04 + x * 0.04) + -0.38 -0.1 + 0.04x = (0.28 + 0.04x) + -0.38 Reorder the terms: -0.1 + 0.04x = 0.28 + -0.38 + 0.04x Combine like terms: 0.28 + -0.38 = -0.1 -0.1 + 0.04x = -0.1 + 0.04x Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.04x = -0.1 + 0.1 + 0.04x Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.04x = -0.1 + 0.1 + 0.04x 0.04x = -0.1 + 0.1 + 0.04x Combine like terms: -0.1 + 0.1 = 0.0 0.04x = 0.0 + 0.04x 0.04x = 0.04x Add '-0.04x' to each side of the equation. 0.04x + -0.04x = 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 0.00 = 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 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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