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Simplifying 67x + -89 + 0.5(4 + -1x) + -1(x + -23) = 0 67x + -89 + (4 * 0.5 + -1x * 0.5) + -1(x + -23) = 0 67x + -89 + (2 + -0.5x) + -1(x + -23) = 0 Reorder the terms: 67x + -89 + 2 + -0.5x + -1(-23 + x) = 0 67x + -89 + 2 + -0.5x + (-23 * -1 + x * -1) = 0 67x + -89 + 2 + -0.5x + (23 + -1x) = 0 Reorder the terms: -89 + 2 + 23 + 67x + -0.5x + -1x = 0 Combine like terms: -89 + 2 = -87 -87 + 23 + 67x + -0.5x + -1x = 0 Combine like terms: -87 + 23 = -64 -64 + 67x + -0.5x + -1x = 0 Combine like terms: 67x + -0.5x = 66.5x -64 + 66.5x + -1x = 0 Combine like terms: 66.5x + -1x = 65.5x -64 + 65.5x = 0 Solving -64 + 65.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 65.5x = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 65.5x = 0 + 64 65.5x = 0 + 64 Combine like terms: 0 + 64 = 64 65.5x = 64 Divide each side by '65.5'. x = 0.9770992366 Simplifying x = 0.9770992366
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