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Simplifying 0.5x + -7 = 2x + -3 Reorder the terms: -7 + 0.5x = 2x + -3 Reorder the terms: -7 + 0.5x = -3 + 2x Solving -7 + 0.5x = -3 + 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. -7 + 0.5x + -2x = -3 + 2x + -2x Combine like terms: 0.5x + -2x = -1.5x -7 + -1.5x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -1.5x = -3 + 0 -7 + -1.5x = -3 Add '7' to each side of the equation. -7 + 7 + -1.5x = -3 + 7 Combine like terms: -7 + 7 = 0 0 + -1.5x = -3 + 7 -1.5x = -3 + 7 Combine like terms: -3 + 7 = 4 -1.5x = 4 Divide each side by '-1.5'. x = -2.666666667 Simplifying x = -2.666666667
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