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Simplifying 0.5(6x + -4) = 8 + -1(2 + 4x) Reorder the terms: 0.5(-4 + 6x) = 8 + -1(2 + 4x) (-4 * 0.5 + 6x * 0.5) = 8 + -1(2 + 4x) (-2 + 3x) = 8 + -1(2 + 4x) -2 + 3x = 8 + (2 * -1 + 4x * -1) -2 + 3x = 8 + (-2 + -4x) Combine like terms: 8 + -2 = 6 -2 + 3x = 6 + -4x Solving -2 + 3x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + 3x + 4x = 6 + -4x + 4x Combine like terms: 3x + 4x = 7x -2 + 7x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 7x = 6 + 0 -2 + 7x = 6 Add '2' to each side of the equation. -2 + 2 + 7x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 6 + 2 7x = 6 + 2 Combine like terms: 6 + 2 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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