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Simplifying 3x + -2(3x + -5) = 2 + -5(x + -4) Reorder the terms: 3x + -2(-5 + 3x) = 2 + -5(x + -4) 3x + (-5 * -2 + 3x * -2) = 2 + -5(x + -4) 3x + (10 + -6x) = 2 + -5(x + -4) Reorder the terms: 10 + 3x + -6x = 2 + -5(x + -4) Combine like terms: 3x + -6x = -3x 10 + -3x = 2 + -5(x + -4) Reorder the terms: 10 + -3x = 2 + -5(-4 + x) 10 + -3x = 2 + (-4 * -5 + x * -5) 10 + -3x = 2 + (20 + -5x) Combine like terms: 2 + 20 = 22 10 + -3x = 22 + -5x Solving 10 + -3x = 22 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 10 + -3x + 5x = 22 + -5x + 5x Combine like terms: -3x + 5x = 2x 10 + 2x = 22 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 2x = 22 + 0 10 + 2x = 22 Add '-10' to each side of the equation. 10 + -10 + 2x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 22 + -10 2x = 22 + -10 Combine like terms: 22 + -10 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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