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Simplifying 3(x + 2) + 2x = 5x + -2(x + -4) Reorder the terms: 3(2 + x) + 2x = 5x + -2(x + -4) (2 * 3 + x * 3) + 2x = 5x + -2(x + -4) (6 + 3x) + 2x = 5x + -2(x + -4) Combine like terms: 3x + 2x = 5x 6 + 5x = 5x + -2(x + -4) Reorder the terms: 6 + 5x = 5x + -2(-4 + x) 6 + 5x = 5x + (-4 * -2 + x * -2) 6 + 5x = 5x + (8 + -2x) Reorder the terms: 6 + 5x = 8 + 5x + -2x Combine like terms: 5x + -2x = 3x 6 + 5x = 8 + 3x Solving 6 + 5x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 5x + -3x = 8 + 3x + -3x Combine like terms: 5x + -3x = 2x 6 + 2x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 2x = 8 + 0 6 + 2x = 8 Add '-6' to each side of the equation. 6 + -6 + 2x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 8 + -6 2x = 8 + -6 Combine like terms: 8 + -6 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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