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Simplifying 2(x + 6) + -5x = 3 + 6x + 2 Reorder the terms: 2(6 + x) + -5x = 3 + 6x + 2 (6 * 2 + x * 2) + -5x = 3 + 6x + 2 (12 + 2x) + -5x = 3 + 6x + 2 Combine like terms: 2x + -5x = -3x 12 + -3x = 3 + 6x + 2 Reorder the terms: 12 + -3x = 3 + 2 + 6x Combine like terms: 3 + 2 = 5 12 + -3x = 5 + 6x Solving 12 + -3x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -3x + -6x = 5 + 6x + -6x Combine like terms: -3x + -6x = -9x 12 + -9x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -9x = 5 + 0 12 + -9x = 5 Add '-12' to each side of the equation. 12 + -12 + -9x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 5 + -12 -9x = 5 + -12 Combine like terms: 5 + -12 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778
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