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Simplifying 0.5(x + -4) = 2.5x + 6 + -4x Reorder the terms: 0.5(-4 + x) = 2.5x + 6 + -4x (-4 * 0.5 + x * 0.5) = 2.5x + 6 + -4x (-2 + 0.5x) = 2.5x + 6 + -4x Reorder the terms: -2 + 0.5x = 6 + 2.5x + -4x Combine like terms: 2.5x + -4x = -1.5x -2 + 0.5x = 6 + -1.5x Solving -2 + 0.5x = 6 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. -2 + 0.5x + 1.5x = 6 + -1.5x + 1.5x Combine like terms: 0.5x + 1.5x = 2x -2 + 2x = 6 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -2 + 2x = 6 + 0.0 -2 + 2x = 6 Add '2' to each side of the equation. -2 + 2 + 2x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 6 + 2 2x = 6 + 2 Combine like terms: 6 + 2 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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