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Simplifying 7 + -2(x + 8) = 5(x + -7) Reorder the terms: 7 + -2(8 + x) = 5(x + -7) 7 + (8 * -2 + x * -2) = 5(x + -7) 7 + (-16 + -2x) = 5(x + -7) Combine like terms: 7 + -16 = -9 -9 + -2x = 5(x + -7) Reorder the terms: -9 + -2x = 5(-7 + x) -9 + -2x = (-7 * 5 + x * 5) -9 + -2x = (-35 + 5x) Solving -9 + -2x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + -2x + -5x = -35 + 5x + -5x Combine like terms: -2x + -5x = -7x -9 + -7x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -7x = -35 + 0 -9 + -7x = -35 Add '9' to each side of the equation. -9 + 9 + -7x = -35 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = -35 + 9 -7x = -35 + 9 Combine like terms: -35 + 9 = -26 -7x = -26 Divide each side by '-7'. x = 3.714285714 Simplifying x = 3.714285714
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