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Simplifying 2(x + 7) + -5x = 3(x + 2) + 6x Reorder the terms: 2(7 + x) + -5x = 3(x + 2) + 6x (7 * 2 + x * 2) + -5x = 3(x + 2) + 6x (14 + 2x) + -5x = 3(x + 2) + 6x Combine like terms: 2x + -5x = -3x 14 + -3x = 3(x + 2) + 6x Reorder the terms: 14 + -3x = 3(2 + x) + 6x 14 + -3x = (2 * 3 + x * 3) + 6x 14 + -3x = (6 + 3x) + 6x Combine like terms: 3x + 6x = 9x 14 + -3x = 6 + 9x Solving 14 + -3x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 14 + -3x + -9x = 6 + 9x + -9x Combine like terms: -3x + -9x = -12x 14 + -12x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -12x = 6 + 0 14 + -12x = 6 Add '-14' to each side of the equation. 14 + -14 + -12x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -12x = 6 + -14 -12x = 6 + -14 Combine like terms: 6 + -14 = -8 -12x = -8 Divide each side by '-12'. x = 0.6666666667 Simplifying x = 0.6666666667
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