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Simplifying 0.5(5x + -4) = 2(3x + 8) Reorder the terms: 0.5(-4 + 5x) = 2(3x + 8) (-4 * 0.5 + 5x * 0.5) = 2(3x + 8) (-2 + 2.5x) = 2(3x + 8) Reorder the terms: -2 + 2.5x = 2(8 + 3x) -2 + 2.5x = (8 * 2 + 3x * 2) -2 + 2.5x = (16 + 6x) Solving -2 + 2.5x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 2.5x + -6x = 16 + 6x + -6x Combine like terms: 2.5x + -6x = -3.5x -2 + -3.5x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -3.5x = 16 + 0 -2 + -3.5x = 16 Add '2' to each side of the equation. -2 + 2 + -3.5x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -3.5x = 16 + 2 -3.5x = 16 + 2 Combine like terms: 16 + 2 = 18 -3.5x = 18 Divide each side by '-3.5'. x = -5.142857143 Simplifying x = -5.142857143
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