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Simplifying 2(3x + 2) + -4 = 5x + 3 + -8x + 6 Reorder the terms: 2(2 + 3x) + -4 = 5x + 3 + -8x + 6 (2 * 2 + 3x * 2) + -4 = 5x + 3 + -8x + 6 (4 + 6x) + -4 = 5x + 3 + -8x + 6 Reorder the terms: 4 + -4 + 6x = 5x + 3 + -8x + 6 Combine like terms: 4 + -4 = 0 0 + 6x = 5x + 3 + -8x + 6 6x = 5x + 3 + -8x + 6 Reorder the terms: 6x = 3 + 6 + 5x + -8x Combine like terms: 3 + 6 = 9 6x = 9 + 5x + -8x Combine like terms: 5x + -8x = -3x 6x = 9 + -3x Solving 6x = 9 + -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. 6x + 3x = 9 + -3x + 3x Combine like terms: 6x + 3x = 9x 9x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 9x = 9 + 0 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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