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Simplifying 3(2x + -1) + 4(x + 1) = 21 Reorder the terms: 3(-1 + 2x) + 4(x + 1) = 21 (-1 * 3 + 2x * 3) + 4(x + 1) = 21 (-3 + 6x) + 4(x + 1) = 21 Reorder the terms: -3 + 6x + 4(1 + x) = 21 -3 + 6x + (1 * 4 + x * 4) = 21 -3 + 6x + (4 + 4x) = 21 Reorder the terms: -3 + 4 + 6x + 4x = 21 Combine like terms: -3 + 4 = 1 1 + 6x + 4x = 21 Combine like terms: 6x + 4x = 10x 1 + 10x = 21 Solving 1 + 10x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 21 + -1 10x = 21 + -1 Combine like terms: 21 + -1 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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