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Simplifying 2(x + 6) + -7x = 3x + -5x + 8 Reorder the terms: 2(6 + x) + -7x = 3x + -5x + 8 (6 * 2 + x * 2) + -7x = 3x + -5x + 8 (12 + 2x) + -7x = 3x + -5x + 8 Combine like terms: 2x + -7x = -5x 12 + -5x = 3x + -5x + 8 Reorder the terms: 12 + -5x = 8 + 3x + -5x Combine like terms: 3x + -5x = -2x 12 + -5x = 8 + -2x Solving 12 + -5x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + -5x + 2x = 8 + -2x + 2x Combine like terms: -5x + 2x = -3x 12 + -3x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -3x = 8 + 0 12 + -3x = 8 Add '-12' to each side of the equation. 12 + -12 + -3x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 8 + -12 -3x = 8 + -12 Combine like terms: 8 + -12 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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