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Simplifying -0.5(x + 8) + 0.6(x + 8) = 0.1x + 0.8 Reorder the terms: -0.5(8 + x) + 0.6(x + 8) = 0.1x + 0.8 (8 * -0.5 + x * -0.5) + 0.6(x + 8) = 0.1x + 0.8 (-4 + -0.5x) + 0.6(x + 8) = 0.1x + 0.8 Reorder the terms: -4 + -0.5x + 0.6(8 + x) = 0.1x + 0.8 -4 + -0.5x + (8 * 0.6 + x * 0.6) = 0.1x + 0.8 -4 + -0.5x + (4.8 + 0.6x) = 0.1x + 0.8 Reorder the terms: -4 + 4.8 + -0.5x + 0.6x = 0.1x + 0.8 Combine like terms: -4 + 4.8 = 0.8 0.8 + -0.5x + 0.6x = 0.1x + 0.8 Combine like terms: -0.5x + 0.6x = 0.1x 0.8 + 0.1x = 0.1x + 0.8 Reorder the terms: 0.8 + 0.1x = 0.8 + 0.1x Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.1x = 0.8 + -0.8 + 0.1x Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.1x = 0.8 + -0.8 + 0.1x 0.1x = 0.8 + -0.8 + 0.1x Combine like terms: 0.8 + -0.8 = 0.0 0.1x = 0.0 + 0.1x 0.1x = 0.1x Add '-0.1x' to each side of the equation. 0.1x + -0.1x = 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.0 = 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.0 = 0.0 Solving 0.0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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