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Simplifying 0.5(x + -4) + 9 = 0.5x + 7 Reorder the terms: 0.5(-4 + x) + 9 = 0.5x + 7 (-4 * 0.5 + x * 0.5) + 9 = 0.5x + 7 (-2 + 0.5x) + 9 = 0.5x + 7 Reorder the terms: -2 + 9 + 0.5x = 0.5x + 7 Combine like terms: -2 + 9 = 7 7 + 0.5x = 0.5x + 7 Reorder the terms: 7 + 0.5x = 7 + 0.5x Add '-7' to each side of the equation. 7 + -7 + 0.5x = 7 + -7 + 0.5x Combine like terms: 7 + -7 = 0 0 + 0.5x = 7 + -7 + 0.5x 0.5x = 7 + -7 + 0.5x Combine like terms: 7 + -7 = 0 0.5x = 0 + 0.5x 0.5x = 0.5x Add '-0.5x' to each side of the equation. 0.5x + -0.5x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.0 = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 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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