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Simplifying 6x + 8 + -2(x + 4) = 2(3x + -1) Reorder the terms: 6x + 8 + -2(4 + x) = 2(3x + -1) 6x + 8 + (4 * -2 + x * -2) = 2(3x + -1) 6x + 8 + (-8 + -2x) = 2(3x + -1) Reorder the terms: 8 + -8 + 6x + -2x = 2(3x + -1) Combine like terms: 8 + -8 = 0 0 + 6x + -2x = 2(3x + -1) 6x + -2x = 2(3x + -1) Combine like terms: 6x + -2x = 4x 4x = 2(3x + -1) Reorder the terms: 4x = 2(-1 + 3x) 4x = (-1 * 2 + 3x * 2) 4x = (-2 + 6x) Solving 4x = -2 + 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. 4x + -6x = -2 + 6x + -6x Combine like terms: 4x + -6x = -2x -2x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -2x = -2 + 0 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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