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Simplifying 9x + 40 = -7(x + -8) Reorder the terms: 40 + 9x = -7(x + -8) Reorder the terms: 40 + 9x = -7(-8 + x) 40 + 9x = (-8 * -7 + x * -7) 40 + 9x = (56 + -7x) Solving 40 + 9x = 56 + -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. 40 + 9x + 7x = 56 + -7x + 7x Combine like terms: 9x + 7x = 16x 40 + 16x = 56 + -7x + 7x Combine like terms: -7x + 7x = 0 40 + 16x = 56 + 0 40 + 16x = 56 Add '-40' to each side of the equation. 40 + -40 + 16x = 56 + -40 Combine like terms: 40 + -40 = 0 0 + 16x = 56 + -40 16x = 56 + -40 Combine like terms: 56 + -40 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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