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Simplifying 8 + -5x + 3x + -5 = 2(x + 6) + -7x Reorder the terms: 8 + -5 + -5x + 3x = 2(x + 6) + -7x Combine like terms: 8 + -5 = 3 3 + -5x + 3x = 2(x + 6) + -7x Combine like terms: -5x + 3x = -2x 3 + -2x = 2(x + 6) + -7x Reorder the terms: 3 + -2x = 2(6 + x) + -7x 3 + -2x = (6 * 2 + x * 2) + -7x 3 + -2x = (12 + 2x) + -7x Combine like terms: 2x + -7x = -5x 3 + -2x = 12 + -5x Solving 3 + -2x = 12 + -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. 3 + -2x + 5x = 12 + -5x + 5x Combine like terms: -2x + 5x = 3x 3 + 3x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 3x = 12 + 0 3 + 3x = 12 Add '-3' to each side of the equation. 3 + -3 + 3x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 12 + -3 3x = 12 + -3 Combine like terms: 12 + -3 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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