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Simplifying 7(2x + 8) = 8(2x + 4) Reorder the terms: 7(8 + 2x) = 8(2x + 4) (8 * 7 + 2x * 7) = 8(2x + 4) (56 + 14x) = 8(2x + 4) Reorder the terms: 56 + 14x = 8(4 + 2x) 56 + 14x = (4 * 8 + 2x * 8) 56 + 14x = (32 + 16x) Solving 56 + 14x = 32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 56 + 14x + -16x = 32 + 16x + -16x Combine like terms: 14x + -16x = -2x 56 + -2x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 56 + -2x = 32 + 0 56 + -2x = 32 Add '-56' to each side of the equation. 56 + -56 + -2x = 32 + -56 Combine like terms: 56 + -56 = 0 0 + -2x = 32 + -56 -2x = 32 + -56 Combine like terms: 32 + -56 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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