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Simplifying 2(4x + 2 + -3) = 0.5(x + 4) Reorder the terms: 2(2 + -3 + 4x) = 0.5(x + 4) Combine like terms: 2 + -3 = -1 2(-1 + 4x) = 0.5(x + 4) (-1 * 2 + 4x * 2) = 0.5(x + 4) (-2 + 8x) = 0.5(x + 4) Reorder the terms: -2 + 8x = 0.5(4 + x) -2 + 8x = (4 * 0.5 + x * 0.5) -2 + 8x = (2 + 0.5x) Solving -2 + 8x = 2 + 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 + 8x + -0.5x = 2 + 0.5x + -0.5x Combine like terms: 8x + -0.5x = 7.5x -2 + 7.5x = 2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -2 + 7.5x = 2 + 0.0 -2 + 7.5x = 2 Add '2' to each side of the equation. -2 + 2 + 7.5x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 7.5x = 2 + 2 7.5x = 2 + 2 Combine like terms: 2 + 2 = 4 7.5x = 4 Divide each side by '7.5'. x = 0.5333333333 Simplifying x = 0.5333333333
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