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Simplifying 4x + -2 = 0.5(x + 10) Reorder the terms: -2 + 4x = 0.5(x + 10) Reorder the terms: -2 + 4x = 0.5(10 + x) -2 + 4x = (10 * 0.5 + x * 0.5) -2 + 4x = (5 + 0.5x) Solving -2 + 4x = 5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -2 + 4x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: 4x + -0.5x = 3.5x -2 + 3.5x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -2 + 3.5x = 5 + 0.0 -2 + 3.5x = 5 Add '2' to each side of the equation. -2 + 2 + 3.5x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 3.5x = 5 + 2 3.5x = 5 + 2 Combine like terms: 5 + 2 = 7 3.5x = 7 Divide each side by '3.5'. x = 2 Simplifying x = 2
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