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Simplifying 4(2x + 1) = 7(x + 3) Reorder the terms: 4(1 + 2x) = 7(x + 3) (1 * 4 + 2x * 4) = 7(x + 3) (4 + 8x) = 7(x + 3) Reorder the terms: 4 + 8x = 7(3 + x) 4 + 8x = (3 * 7 + x * 7) 4 + 8x = (21 + 7x) Solving 4 + 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. 4 + 8x + -7x = 21 + 7x + -7x Combine like terms: 8x + -7x = 1x 4 + 1x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 1x = 21 + 0 4 + 1x = 21 Add '-4' to each side of the equation. 4 + -4 + 1x = 21 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 21 + -4 1x = 21 + -4 Combine like terms: 21 + -4 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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