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Simplifying 0.5x + -1 = 2x + -7 Reorder the terms: -1 + 0.5x = 2x + -7 Reorder the terms: -1 + 0.5x = -7 + 2x Solving -1 + 0.5x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 0.5x + -2x = -7 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -1 + -1.5x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -1.5x = -7 + 0 -1 + -1.5x = -7 Add '1' to each side of the equation. -1 + 1 + -1.5x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -1.5x = -7 + 1 -1.5x = -7 + 1 Combine like terms: -7 + 1 = -6 -1.5x = -6 Divide each side by '-1.5'. x = 4 Simplifying x = 4
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