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Simplifying -7(x + 9) = 9(x + -5) + -14 Reorder the terms: -7(9 + x) = 9(x + -5) + -14 (9 * -7 + x * -7) = 9(x + -5) + -14 (-63 + -7x) = 9(x + -5) + -14 Reorder the terms: -63 + -7x = 9(-5 + x) + -14 -63 + -7x = (-5 * 9 + x * 9) + -14 -63 + -7x = (-45 + 9x) + -14 Reorder the terms: -63 + -7x = -45 + -14 + 9x Combine like terms: -45 + -14 = -59 -63 + -7x = -59 + 9x Solving -63 + -7x = -59 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -63 + -7x + -9x = -59 + 9x + -9x Combine like terms: -7x + -9x = -16x -63 + -16x = -59 + 9x + -9x Combine like terms: 9x + -9x = 0 -63 + -16x = -59 + 0 -63 + -16x = -59 Add '63' to each side of the equation. -63 + 63 + -16x = -59 + 63 Combine like terms: -63 + 63 = 0 0 + -16x = -59 + 63 -16x = -59 + 63 Combine like terms: -59 + 63 = 4 -16x = 4 Divide each side by '-16'. x = -0.25 Simplifying x = -0.25
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