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Simplifying 4x + -5 = 2(0.5x + 2) Reorder the terms: -5 + 4x = 2(0.5x + 2) Reorder the terms: -5 + 4x = 2(2 + 0.5x) -5 + 4x = (2 * 2 + 0.5x * 2) -5 + 4x = (4 + 1x) Solving -5 + 4x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 4x + -1x = 4 + 1x + -1x Combine like terms: 4x + -1x = 3x -5 + 3x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 -5 + 3x = 4 + 0 -5 + 3x = 4 Add '5' to each side of the equation. -5 + 5 + 3x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 4 + 5 3x = 4 + 5 Combine like terms: 4 + 5 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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