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Simplifying 0.5(3x + -4) = 6 + x + 2x + -5 Reorder the terms: 0.5(-4 + 3x) = 6 + x + 2x + -5 (-4 * 0.5 + 3x * 0.5) = 6 + x + 2x + -5 (-2 + 1.5x) = 6 + x + 2x + -5 Reorder the terms: -2 + 1.5x = 6 + -5 + x + 2x Combine like terms: 6 + -5 = 1 -2 + 1.5x = 1 + x + 2x Combine like terms: x + 2x = 3x -2 + 1.5x = 1 + 3x Solving -2 + 1.5x = 1 + 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. -2 + 1.5x + -3x = 1 + 3x + -3x Combine like terms: 1.5x + -3x = -1.5x -2 + -1.5x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -1.5x = 1 + 0 -2 + -1.5x = 1 Add '2' to each side of the equation. -2 + 2 + -1.5x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -1.5x = 1 + 2 -1.5x = 1 + 2 Combine like terms: 1 + 2 = 3 -1.5x = 3 Divide each side by '-1.5'. x = -2 Simplifying x = -2
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