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Simplifying 4(3x + -5) + 6 = 2(5x + 7) Reorder the terms: 4(-5 + 3x) + 6 = 2(5x + 7) (-5 * 4 + 3x * 4) + 6 = 2(5x + 7) (-20 + 12x) + 6 = 2(5x + 7) Reorder the terms: -20 + 6 + 12x = 2(5x + 7) Combine like terms: -20 + 6 = -14 -14 + 12x = 2(5x + 7) Reorder the terms: -14 + 12x = 2(7 + 5x) -14 + 12x = (7 * 2 + 5x * 2) -14 + 12x = (14 + 10x) Solving -14 + 12x = 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. -14 + 12x + -10x = 14 + 10x + -10x Combine like terms: 12x + -10x = 2x -14 + 2x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + 2x = 14 + 0 -14 + 2x = 14 Add '14' to each side of the equation. -14 + 14 + 2x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 14 + 14 2x = 14 + 14 Combine like terms: 14 + 14 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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