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Simplifying 0.5x + 1 = 4x + -6 Reorder the terms: 1 + 0.5x = 4x + -6 Reorder the terms: 1 + 0.5x = -6 + 4x Solving 1 + 0.5x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 0.5x + -4x = -6 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x 1 + -3.5x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -3.5x = -6 + 0 1 + -3.5x = -6 Add '-1' to each side of the equation. 1 + -1 + -3.5x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -3.5x = -6 + -1 -3.5x = -6 + -1 Combine like terms: -6 + -1 = -7 -3.5x = -7 Divide each side by '-3.5'. x = 2 Simplifying x = 2
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