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Simplifying -7(x + 9) = 9(x + -5) + -14x Reorder the terms: -7(9 + x) = 9(x + -5) + -14x (9 * -7 + x * -7) = 9(x + -5) + -14x (-63 + -7x) = 9(x + -5) + -14x Reorder the terms: -63 + -7x = 9(-5 + x) + -14x -63 + -7x = (-5 * 9 + x * 9) + -14x -63 + -7x = (-45 + 9x) + -14x Combine like terms: 9x + -14x = -5x -63 + -7x = -45 + -5x Solving -63 + -7x = -45 + -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. -63 + -7x + 5x = -45 + -5x + 5x Combine like terms: -7x + 5x = -2x -63 + -2x = -45 + -5x + 5x Combine like terms: -5x + 5x = 0 -63 + -2x = -45 + 0 -63 + -2x = -45 Add '63' to each side of the equation. -63 + 63 + -2x = -45 + 63 Combine like terms: -63 + 63 = 0 0 + -2x = -45 + 63 -2x = -45 + 63 Combine like terms: -45 + 63 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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