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Simplifying 6x + -9 = 5(x + 7) + 6 Reorder the terms: -9 + 6x = 5(x + 7) + 6 Reorder the terms: -9 + 6x = 5(7 + x) + 6 -9 + 6x = (7 * 5 + x * 5) + 6 -9 + 6x = (35 + 5x) + 6 Reorder the terms: -9 + 6x = 35 + 6 + 5x Combine like terms: 35 + 6 = 41 -9 + 6x = 41 + 5x Solving -9 + 6x = 41 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 6x + -5x = 41 + 5x + -5x Combine like terms: 6x + -5x = 1x -9 + 1x = 41 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 1x = 41 + 0 -9 + 1x = 41 Add '9' to each side of the equation. -9 + 9 + 1x = 41 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 41 + 9 1x = 41 + 9 Combine like terms: 41 + 9 = 50 1x = 50 Divide each side by '1'. x = 50 Simplifying x = 50
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