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Simplifying 7(x + 8) = 2(x + -8) + 17 Reorder the terms: 7(8 + x) = 2(x + -8) + 17 (8 * 7 + x * 7) = 2(x + -8) + 17 (56 + 7x) = 2(x + -8) + 17 Reorder the terms: 56 + 7x = 2(-8 + x) + 17 56 + 7x = (-8 * 2 + x * 2) + 17 56 + 7x = (-16 + 2x) + 17 Reorder the terms: 56 + 7x = -16 + 17 + 2x Combine like terms: -16 + 17 = 1 56 + 7x = 1 + 2x Solving 56 + 7x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 56 + 7x + -2x = 1 + 2x + -2x Combine like terms: 7x + -2x = 5x 56 + 5x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 56 + 5x = 1 + 0 56 + 5x = 1 Add '-56' to each side of the equation. 56 + -56 + 5x = 1 + -56 Combine like terms: 56 + -56 = 0 0 + 5x = 1 + -56 5x = 1 + -56 Combine like terms: 1 + -56 = -55 5x = -55 Divide each side by '5'. x = -11 Simplifying x = -11
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