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Simplifying 9 + 2(x + -8) = 10 + -7(x + -5) Reorder the terms: 9 + 2(-8 + x) = 10 + -7(x + -5) 9 + (-8 * 2 + x * 2) = 10 + -7(x + -5) 9 + (-16 + 2x) = 10 + -7(x + -5) Combine like terms: 9 + -16 = -7 -7 + 2x = 10 + -7(x + -5) Reorder the terms: -7 + 2x = 10 + -7(-5 + x) -7 + 2x = 10 + (-5 * -7 + x * -7) -7 + 2x = 10 + (35 + -7x) Combine like terms: 10 + 35 = 45 -7 + 2x = 45 + -7x Solving -7 + 2x = 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. -7 + 2x + 7x = 45 + -7x + 7x Combine like terms: 2x + 7x = 9x -7 + 9x = 45 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + 9x = 45 + 0 -7 + 9x = 45 Add '7' to each side of the equation. -7 + 7 + 9x = 45 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 45 + 7 9x = 45 + 7 Combine like terms: 45 + 7 = 52 9x = 52 Divide each side by '9'. x = 5.777777778 Simplifying x = 5.777777778
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