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Simplifying 0.5x + 6 = 1x + -4 Reorder the terms: 6 + 0.5x = 1x + -4 Reorder the terms: 6 + 0.5x = -4 + 1x Solving 6 + 0.5x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 0.5x + -1x = -4 + 1x + -1x Combine like terms: 0.5x + -1x = -0.5x 6 + -0.5x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + -0.5x = -4 + 0 6 + -0.5x = -4 Add '-6' to each side of the equation. 6 + -6 + -0.5x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -0.5x = -4 + -6 -0.5x = -4 + -6 Combine like terms: -4 + -6 = -10 -0.5x = -10 Divide each side by '-0.5'. x = 20 Simplifying x = 20
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