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Simplifying 4(2x + 2) = 5(x + 7) Reorder the terms: 4(2 + 2x) = 5(x + 7) (2 * 4 + 2x * 4) = 5(x + 7) (8 + 8x) = 5(x + 7) Reorder the terms: 8 + 8x = 5(7 + x) 8 + 8x = (7 * 5 + x * 5) 8 + 8x = (35 + 5x) Solving 8 + 8x = 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. 8 + 8x + -5x = 35 + 5x + -5x Combine like terms: 8x + -5x = 3x 8 + 3x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 3x = 35 + 0 8 + 3x = 35 Add '-8' to each side of the equation. 8 + -8 + 3x = 35 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 35 + -8 3x = 35 + -8 Combine like terms: 35 + -8 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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