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Simplifying 5x + -6 = (x + 6) + (x + 6) Reorder the terms: -6 + 5x = (x + 6) + (x + 6) Reorder the terms: -6 + 5x = (6 + x) + (x + 6) Remove parenthesis around (6 + x) -6 + 5x = 6 + x + (x + 6) Reorder the terms: -6 + 5x = 6 + x + (6 + x) Remove parenthesis around (6 + x) -6 + 5x = 6 + x + 6 + x Reorder the terms: -6 + 5x = 6 + 6 + x + x Combine like terms: 6 + 6 = 12 -6 + 5x = 12 + x + x Combine like terms: x + x = 2x -6 + 5x = 12 + 2x Solving -6 + 5x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 5x + -2x = 12 + 2x + -2x Combine like terms: 5x + -2x = 3x -6 + 3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 3x = 12 + 0 -6 + 3x = 12 Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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