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Simplifying 4(3x + -5) + 6 = 8 + x Reorder the terms: 4(-5 + 3x) + 6 = 8 + x (-5 * 4 + 3x * 4) + 6 = 8 + x (-20 + 12x) + 6 = 8 + x Reorder the terms: -20 + 6 + 12x = 8 + x Combine like terms: -20 + 6 = -14 -14 + 12x = 8 + x Solving -14 + 12x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 12x + -1x = 8 + x + -1x Combine like terms: 12x + -1x = 11x -14 + 11x = 8 + x + -1x Combine like terms: x + -1x = 0 -14 + 11x = 8 + 0 -14 + 11x = 8 Add '14' to each side of the equation. -14 + 14 + 11x = 8 + 14 Combine like terms: -14 + 14 = 0 0 + 11x = 8 + 14 11x = 8 + 14 Combine like terms: 8 + 14 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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