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Simplifying 8(2x + 7) = 8(9x + -7) Reorder the terms: 8(7 + 2x) = 8(9x + -7) (7 * 8 + 2x * 8) = 8(9x + -7) (56 + 16x) = 8(9x + -7) Reorder the terms: 56 + 16x = 8(-7 + 9x) 56 + 16x = (-7 * 8 + 9x * 8) 56 + 16x = (-56 + 72x) Solving 56 + 16x = -56 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 56 + 16x + -72x = -56 + 72x + -72x Combine like terms: 16x + -72x = -56x 56 + -56x = -56 + 72x + -72x Combine like terms: 72x + -72x = 0 56 + -56x = -56 + 0 56 + -56x = -56 Add '-56' to each side of the equation. 56 + -56 + -56x = -56 + -56 Combine like terms: 56 + -56 = 0 0 + -56x = -56 + -56 -56x = -56 + -56 Combine like terms: -56 + -56 = -112 -56x = -112 Divide each side by '-56'. x = 2 Simplifying x = 2
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