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Simplifying 3x + 6 = 2(5x + -7) Reorder the terms: 6 + 3x = 2(5x + -7) Reorder the terms: 6 + 3x = 2(-7 + 5x) 6 + 3x = (-7 * 2 + 5x * 2) 6 + 3x = (-14 + 10x) Solving 6 + 3x = -14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 3x + -10x = -14 + 10x + -10x Combine like terms: 3x + -10x = -7x 6 + -7x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -7x = -14 + 0 6 + -7x = -14 Add '-6' to each side of the equation. 6 + -6 + -7x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = -14 + -6 -7x = -14 + -6 Combine like terms: -14 + -6 = -20 -7x = -20 Divide each side by '-7'. x = 2.857142857 Simplifying x = 2.857142857
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