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Simplifying 7(x + 9) = 9(x + -5) + -16x Reorder the terms: 7(9 + x) = 9(x + -5) + -16x (9 * 7 + x * 7) = 9(x + -5) + -16x (63 + 7x) = 9(x + -5) + -16x Reorder the terms: 63 + 7x = 9(-5 + x) + -16x 63 + 7x = (-5 * 9 + x * 9) + -16x 63 + 7x = (-45 + 9x) + -16x Combine like terms: 9x + -16x = -7x 63 + 7x = -45 + -7x Solving 63 + 7x = -45 + -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. 63 + 7x + 7x = -45 + -7x + 7x Combine like terms: 7x + 7x = 14x 63 + 14x = -45 + -7x + 7x Combine like terms: -7x + 7x = 0 63 + 14x = -45 + 0 63 + 14x = -45 Add '-63' to each side of the equation. 63 + -63 + 14x = -45 + -63 Combine like terms: 63 + -63 = 0 0 + 14x = -45 + -63 14x = -45 + -63 Combine like terms: -45 + -63 = -108 14x = -108 Divide each side by '14'. x = -7.714285714 Simplifying x = -7.714285714
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