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Simplifying 3(2x + 1) + -4(x + 3) = 21 Reorder the terms: 3(1 + 2x) + -4(x + 3) = 21 (1 * 3 + 2x * 3) + -4(x + 3) = 21 (3 + 6x) + -4(x + 3) = 21 Reorder the terms: 3 + 6x + -4(3 + x) = 21 3 + 6x + (3 * -4 + x * -4) = 21 3 + 6x + (-12 + -4x) = 21 Reorder the terms: 3 + -12 + 6x + -4x = 21 Combine like terms: 3 + -12 = -9 -9 + 6x + -4x = 21 Combine like terms: 6x + -4x = 2x -9 + 2x = 21 Solving -9 + 2x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 21 + 9 2x = 21 + 9 Combine like terms: 21 + 9 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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