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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 = -108 -2x = -108 Divide each side by '-2'. x = 54 Simplifying x = 54
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