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Simplifying 4(x + 1) + 7x = 8x + 28 Reorder the terms: 4(1 + x) + 7x = 8x + 28 (1 * 4 + x * 4) + 7x = 8x + 28 (4 + 4x) + 7x = 8x + 28 Combine like terms: 4x + 7x = 11x 4 + 11x = 8x + 28 Reorder the terms: 4 + 11x = 28 + 8x Solving 4 + 11x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 11x + -8x = 28 + 8x + -8x Combine like terms: 11x + -8x = 3x 4 + 3x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 3x = 28 + 0 4 + 3x = 28 Add '-4' to each side of the equation. 4 + -4 + 3x = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 28 + -4 3x = 28 + -4 Combine like terms: 28 + -4 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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