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Simplifying 6(2x + -5) = 7(x + 7) Reorder the terms: 6(-5 + 2x) = 7(x + 7) (-5 * 6 + 2x * 6) = 7(x + 7) (-30 + 12x) = 7(x + 7) Reorder the terms: -30 + 12x = 7(7 + x) -30 + 12x = (7 * 7 + x * 7) -30 + 12x = (49 + 7x) Solving -30 + 12x = 49 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -30 + 12x + -7x = 49 + 7x + -7x Combine like terms: 12x + -7x = 5x -30 + 5x = 49 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + 5x = 49 + 0 -30 + 5x = 49 Add '30' to each side of the equation. -30 + 30 + 5x = 49 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 49 + 30 5x = 49 + 30 Combine like terms: 49 + 30 = 79 5x = 79 Divide each side by '5'. x = 15.8 Simplifying x = 15.8
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