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Simplifying 5 + 9(x + -7) = 5 + -7(x + -8) Reorder the terms: 5 + 9(-7 + x) = 5 + -7(x + -8) 5 + (-7 * 9 + x * 9) = 5 + -7(x + -8) 5 + (-63 + 9x) = 5 + -7(x + -8) Combine like terms: 5 + -63 = -58 -58 + 9x = 5 + -7(x + -8) Reorder the terms: -58 + 9x = 5 + -7(-8 + x) -58 + 9x = 5 + (-8 * -7 + x * -7) -58 + 9x = 5 + (56 + -7x) Combine like terms: 5 + 56 = 61 -58 + 9x = 61 + -7x Solving -58 + 9x = 61 + -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. -58 + 9x + 7x = 61 + -7x + 7x Combine like terms: 9x + 7x = 16x -58 + 16x = 61 + -7x + 7x Combine like terms: -7x + 7x = 0 -58 + 16x = 61 + 0 -58 + 16x = 61 Add '58' to each side of the equation. -58 + 58 + 16x = 61 + 58 Combine like terms: -58 + 58 = 0 0 + 16x = 61 + 58 16x = 61 + 58 Combine like terms: 61 + 58 = 119 16x = 119 Divide each side by '16'. x = 7.4375 Simplifying x = 7.4375
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