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Simplifying 2(2x + 6) + -3(x + -4) = 21 Reorder the terms: 2(6 + 2x) + -3(x + -4) = 21 (6 * 2 + 2x * 2) + -3(x + -4) = 21 (12 + 4x) + -3(x + -4) = 21 Reorder the terms: 12 + 4x + -3(-4 + x) = 21 12 + 4x + (-4 * -3 + x * -3) = 21 12 + 4x + (12 + -3x) = 21 Reorder the terms: 12 + 12 + 4x + -3x = 21 Combine like terms: 12 + 12 = 24 24 + 4x + -3x = 21 Combine like terms: 4x + -3x = 1x 24 + 1x = 21 Solving 24 + 1x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 1x = 21 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 21 + -24 1x = 21 + -24 Combine like terms: 21 + -24 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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