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Simplifying 3(2x + 4) + -4(x + -7) = 56 Reorder the terms: 3(4 + 2x) + -4(x + -7) = 56 (4 * 3 + 2x * 3) + -4(x + -7) = 56 (12 + 6x) + -4(x + -7) = 56 Reorder the terms: 12 + 6x + -4(-7 + x) = 56 12 + 6x + (-7 * -4 + x * -4) = 56 12 + 6x + (28 + -4x) = 56 Reorder the terms: 12 + 28 + 6x + -4x = 56 Combine like terms: 12 + 28 = 40 40 + 6x + -4x = 56 Combine like terms: 6x + -4x = 2x 40 + 2x = 56 Solving 40 + 2x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 2x = 56 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 56 + -40 2x = 56 + -40 Combine like terms: 56 + -40 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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