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Simplifying 2(3x + 4) + -1(5x + -2) = 12 + -2(6x + -12) Reorder the terms: 2(4 + 3x) + -1(5x + -2) = 12 + -2(6x + -12) (4 * 2 + 3x * 2) + -1(5x + -2) = 12 + -2(6x + -12) (8 + 6x) + -1(5x + -2) = 12 + -2(6x + -12) Reorder the terms: 8 + 6x + -1(-2 + 5x) = 12 + -2(6x + -12) 8 + 6x + (-2 * -1 + 5x * -1) = 12 + -2(6x + -12) 8 + 6x + (2 + -5x) = 12 + -2(6x + -12) Reorder the terms: 8 + 2 + 6x + -5x = 12 + -2(6x + -12) Combine like terms: 8 + 2 = 10 10 + 6x + -5x = 12 + -2(6x + -12) Combine like terms: 6x + -5x = 1x 10 + 1x = 12 + -2(6x + -12) Reorder the terms: 10 + 1x = 12 + -2(-12 + 6x) 10 + 1x = 12 + (-12 * -2 + 6x * -2) 10 + 1x = 12 + (24 + -12x) Combine like terms: 12 + 24 = 36 10 + 1x = 36 + -12x Solving 10 + 1x = 36 + -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 + 1x + 12x = 36 + -12x + 12x Combine like terms: 1x + 12x = 13x 10 + 13x = 36 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + 13x = 36 + 0 10 + 13x = 36 Add '-10' to each side of the equation. 10 + -10 + 13x = 36 + -10 Combine like terms: 10 + -10 = 0 0 + 13x = 36 + -10 13x = 36 + -10 Combine like terms: 36 + -10 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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