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Simplifying (14x + -2) + 9 = (12x + 8) + (3x + -9) Reorder the terms: (-2 + 14x) + 9 = (12x + 8) + (3x + -9) Remove parenthesis around (-2 + 14x) -2 + 14x + 9 = (12x + 8) + (3x + -9) Reorder the terms: -2 + 9 + 14x = (12x + 8) + (3x + -9) Combine like terms: -2 + 9 = 7 7 + 14x = (12x + 8) + (3x + -9) Reorder the terms: 7 + 14x = (8 + 12x) + (3x + -9) Remove parenthesis around (8 + 12x) 7 + 14x = 8 + 12x + (3x + -9) Reorder the terms: 7 + 14x = 8 + 12x + (-9 + 3x) Remove parenthesis around (-9 + 3x) 7 + 14x = 8 + 12x + -9 + 3x Reorder the terms: 7 + 14x = 8 + -9 + 12x + 3x Combine like terms: 8 + -9 = -1 7 + 14x = -1 + 12x + 3x Combine like terms: 12x + 3x = 15x 7 + 14x = -1 + 15x Solving 7 + 14x = -1 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 7 + 14x + -15x = -1 + 15x + -15x Combine like terms: 14x + -15x = -1x 7 + -1x = -1 + 15x + -15x Combine like terms: 15x + -15x = 0 7 + -1x = -1 + 0 7 + -1x = -1 Add '-7' to each side of the equation. 7 + -7 + -1x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -1 + -7 -1x = -1 + -7 Combine like terms: -1 + -7 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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