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Simplifying 3x + -4 = 6 + -2(5x + -8) Reorder the terms: -4 + 3x = 6 + -2(5x + -8) Reorder the terms: -4 + 3x = 6 + -2(-8 + 5x) -4 + 3x = 6 + (-8 * -2 + 5x * -2) -4 + 3x = 6 + (16 + -10x) Combine like terms: 6 + 16 = 22 -4 + 3x = 22 + -10x Solving -4 + 3x = 22 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -4 + 3x + 10x = 22 + -10x + 10x Combine like terms: 3x + 10x = 13x -4 + 13x = 22 + -10x + 10x Combine like terms: -10x + 10x = 0 -4 + 13x = 22 + 0 -4 + 13x = 22 Add '4' to each side of the equation. -4 + 4 + 13x = 22 + 4 Combine like terms: -4 + 4 = 0 0 + 13x = 22 + 4 13x = 22 + 4 Combine like terms: 22 + 4 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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