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Simplifying 9(x + -5) + 6 = 7(2x + 1) Reorder the terms: 9(-5 + x) + 6 = 7(2x + 1) (-5 * 9 + x * 9) + 6 = 7(2x + 1) (-45 + 9x) + 6 = 7(2x + 1) Reorder the terms: -45 + 6 + 9x = 7(2x + 1) Combine like terms: -45 + 6 = -39 -39 + 9x = 7(2x + 1) Reorder the terms: -39 + 9x = 7(1 + 2x) -39 + 9x = (1 * 7 + 2x * 7) -39 + 9x = (7 + 14x) Solving -39 + 9x = 7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -39 + 9x + -14x = 7 + 14x + -14x Combine like terms: 9x + -14x = -5x -39 + -5x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 -39 + -5x = 7 + 0 -39 + -5x = 7 Add '39' to each side of the equation. -39 + 39 + -5x = 7 + 39 Combine like terms: -39 + 39 = 0 0 + -5x = 7 + 39 -5x = 7 + 39 Combine like terms: 7 + 39 = 46 -5x = 46 Divide each side by '-5'. x = -9.2 Simplifying x = -9.2
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