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Simplifying 6x + -8 = 0.5(7x + -3) Reorder the terms: -8 + 6x = 0.5(7x + -3) Reorder the terms: -8 + 6x = 0.5(-3 + 7x) -8 + 6x = (-3 * 0.5 + 7x * 0.5) -8 + 6x = (-1.5 + 3.5x) Solving -8 + 6x = -1.5 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. -8 + 6x + -3.5x = -1.5 + 3.5x + -3.5x Combine like terms: 6x + -3.5x = 2.5x -8 + 2.5x = -1.5 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 -8 + 2.5x = -1.5 + 0.0 -8 + 2.5x = -1.5 Add '8' to each side of the equation. -8 + 8 + 2.5x = -1.5 + 8 Combine like terms: -8 + 8 = 0 0 + 2.5x = -1.5 + 8 2.5x = -1.5 + 8 Combine like terms: -1.5 + 8 = 6.5 2.5x = 6.5 Divide each side by '2.5'. x = 2.6 Simplifying x = 2.6
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