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Simplifying 142 = (3x + 6) + (9x + -8) Reorder the terms: 142 = (6 + 3x) + (9x + -8) Remove parenthesis around (6 + 3x) 142 = 6 + 3x + (9x + -8) Reorder the terms: 142 = 6 + 3x + (-8 + 9x) Remove parenthesis around (-8 + 9x) 142 = 6 + 3x + -8 + 9x Reorder the terms: 142 = 6 + -8 + 3x + 9x Combine like terms: 6 + -8 = -2 142 = -2 + 3x + 9x Combine like terms: 3x + 9x = 12x 142 = -2 + 12x Solving 142 = -2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 142 + -12x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 142 + -12x = -2 + 0 142 + -12x = -2 Add '-142' to each side of the equation. 142 + -142 + -12x = -2 + -142 Combine like terms: 142 + -142 = 0 0 + -12x = -2 + -142 -12x = -2 + -142 Combine like terms: -2 + -142 = -144 -12x = -144 Divide each side by '-12'. x = 12 Simplifying x = 12
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