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Simplifying 4(x + 3) + 6(x + 1) = 28 Reorder the terms: 4(3 + x) + 6(x + 1) = 28 (3 * 4 + x * 4) + 6(x + 1) = 28 (12 + 4x) + 6(x + 1) = 28 Reorder the terms: 12 + 4x + 6(1 + x) = 28 12 + 4x + (1 * 6 + x * 6) = 28 12 + 4x + (6 + 6x) = 28 Reorder the terms: 12 + 6 + 4x + 6x = 28 Combine like terms: 12 + 6 = 18 18 + 4x + 6x = 28 Combine like terms: 4x + 6x = 10x 18 + 10x = 28 Solving 18 + 10x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 10x = 28 + -18 Combine like terms: 18 + -18 = 0 0 + 10x = 28 + -18 10x = 28 + -18 Combine like terms: 28 + -18 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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