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Simplifying 4(2x + 4) = 7(x + 3) Reorder the terms: 4(4 + 2x) = 7(x + 3) (4 * 4 + 2x * 4) = 7(x + 3) (16 + 8x) = 7(x + 3) Reorder the terms: 16 + 8x = 7(3 + x) 16 + 8x = (3 * 7 + x * 7) 16 + 8x = (21 + 7x) Solving 16 + 8x = 21 + 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. 16 + 8x + -7x = 21 + 7x + -7x Combine like terms: 8x + -7x = 1x 16 + 1x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + 1x = 21 + 0 16 + 1x = 21 Add '-16' to each side of the equation. 16 + -16 + 1x = 21 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 21 + -16 1x = 21 + -16 Combine like terms: 21 + -16 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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