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Simplifying 10 + -0.5x = 3x + -4 Reorder the terms: 10 + -0.5x = -4 + 3x Solving 10 + -0.5x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -0.5x + -3x = -4 + 3x + -3x Combine like terms: -0.5x + -3x = -3.5x 10 + -3.5x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -3.5x = -4 + 0 10 + -3.5x = -4 Add '-10' to each side of the equation. 10 + -10 + -3.5x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -3.5x = -4 + -10 -3.5x = -4 + -10 Combine like terms: -4 + -10 = -14 -3.5x = -14 Divide each side by '-3.5'. x = 4 Simplifying x = 4
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