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Simplifying 3(2x + 12) + -26 = 54 + -2(6x + -5) Reorder the terms: 3(12 + 2x) + -26 = 54 + -2(6x + -5) (12 * 3 + 2x * 3) + -26 = 54 + -2(6x + -5) (36 + 6x) + -26 = 54 + -2(6x + -5) Reorder the terms: 36 + -26 + 6x = 54 + -2(6x + -5) Combine like terms: 36 + -26 = 10 10 + 6x = 54 + -2(6x + -5) Reorder the terms: 10 + 6x = 54 + -2(-5 + 6x) 10 + 6x = 54 + (-5 * -2 + 6x * -2) 10 + 6x = 54 + (10 + -12x) Combine like terms: 54 + 10 = 64 10 + 6x = 64 + -12x Solving 10 + 6x = 64 + -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. 10 + 6x + 12x = 64 + -12x + 12x Combine like terms: 6x + 12x = 18x 10 + 18x = 64 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + 18x = 64 + 0 10 + 18x = 64 Add '-10' to each side of the equation. 10 + -10 + 18x = 64 + -10 Combine like terms: 10 + -10 = 0 0 + 18x = 64 + -10 18x = 64 + -10 Combine like terms: 64 + -10 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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