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Simplifying 4(2x + 4) = 7x + 1 Reorder the terms: 4(4 + 2x) = 7x + 1 (4 * 4 + 2x * 4) = 7x + 1 (16 + 8x) = 7x + 1 Reorder the terms: 16 + 8x = 1 + 7x Solving 16 + 8x = 1 + 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 = 1 + 7x + -7x Combine like terms: 8x + -7x = 1x 16 + 1x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + 1x = 1 + 0 16 + 1x = 1 Add '-16' to each side of the equation. 16 + -16 + 1x = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 1 + -16 1x = 1 + -16 Combine like terms: 1 + -16 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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