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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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