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Simplifying 9(x + -5) = 7(x + 13) Reorder the terms: 9(-5 + x) = 7(x + 13) (-5 * 9 + x * 9) = 7(x + 13) (-45 + 9x) = 7(x + 13) Reorder the terms: -45 + 9x = 7(13 + x) -45 + 9x = (13 * 7 + x * 7) -45 + 9x = (91 + 7x) Solving -45 + 9x = 91 + 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. -45 + 9x + -7x = 91 + 7x + -7x Combine like terms: 9x + -7x = 2x -45 + 2x = 91 + 7x + -7x Combine like terms: 7x + -7x = 0 -45 + 2x = 91 + 0 -45 + 2x = 91 Add '45' to each side of the equation. -45 + 45 + 2x = 91 + 45 Combine like terms: -45 + 45 = 0 0 + 2x = 91 + 45 2x = 91 + 45 Combine like terms: 91 + 45 = 136 2x = 136 Divide each side by '2'. x = 68 Simplifying x = 68
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