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Simplifying 0.05(4x + -5) = 0.20(x + 4) + -1.05 Reorder the terms: 0.05(-5 + 4x) = 0.20(x + 4) + -1.05 (-5 * 0.05 + 4x * 0.05) = 0.20(x + 4) + -1.05 (-0.25 + 0.2x) = 0.20(x + 4) + -1.05 Reorder the terms: -0.25 + 0.2x = 0.20(4 + x) + -1.05 -0.25 + 0.2x = (4 * 0.20 + x * 0.20) + -1.05 -0.25 + 0.2x = (0.8 + 0.20x) + -1.05 Reorder the terms: -0.25 + 0.2x = 0.8 + -1.05 + 0.20x Combine like terms: 0.8 + -1.05 = -0.25 -0.25 + 0.2x = -0.25 + 0.20x Add '0.25' to each side of the equation. -0.25 + 0.25 + 0.2x = -0.25 + 0.25 + 0.20x Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 0.2x = -0.25 + 0.25 + 0.20x 0.2x = -0.25 + 0.25 + 0.20x Combine like terms: -0.25 + 0.25 = 0.00 0.2x = 0.00 + 0.20x 0.2x = 0.20x Add '-0.2x' to each side of the equation. 0.2x + -0.2x = 0.20x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.0 = 0.20x + -0.2x Combine like terms: 0.20x + -0.2x = 0.00 0.0 = 0.00 Solving 0.0 = 0.00 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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