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Simplifying 14x + -8 = 38 + (6x + -6) Reorder the terms: -8 + 14x = 38 + (6x + -6) Reorder the terms: -8 + 14x = 38 + (-6 + 6x) Remove parenthesis around (-6 + 6x) -8 + 14x = 38 + -6 + 6x Combine like terms: 38 + -6 = 32 -8 + 14x = 32 + 6x Solving -8 + 14x = 32 + 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. -8 + 14x + -6x = 32 + 6x + -6x Combine like terms: 14x + -6x = 8x -8 + 8x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 8x = 32 + 0 -8 + 8x = 32 Add '8' to each side of the equation. -8 + 8 + 8x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 32 + 8 8x = 32 + 8 Combine like terms: 32 + 8 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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