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Simplifying 14 + (2x + -9) = 3x + (7x + 13) Reorder the terms: 14 + (-9 + 2x) = 3x + (7x + 13) Remove parenthesis around (-9 + 2x) 14 + -9 + 2x = 3x + (7x + 13) Combine like terms: 14 + -9 = 5 5 + 2x = 3x + (7x + 13) Reorder the terms: 5 + 2x = 3x + (13 + 7x) Remove parenthesis around (13 + 7x) 5 + 2x = 3x + 13 + 7x Reorder the terms: 5 + 2x = 13 + 3x + 7x Combine like terms: 3x + 7x = 10x 5 + 2x = 13 + 10x Solving 5 + 2x = 13 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5 + 2x + -10x = 13 + 10x + -10x Combine like terms: 2x + -10x = -8x 5 + -8x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -8x = 13 + 0 5 + -8x = 13 Add '-5' to each side of the equation. 5 + -5 + -8x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 13 + -5 -8x = 13 + -5 Combine like terms: 13 + -5 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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