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Simplifying 7(2x + 4) + -1(5x + -10) = 56 Reorder the terms: 7(4 + 2x) + -1(5x + -10) = 56 (4 * 7 + 2x * 7) + -1(5x + -10) = 56 (28 + 14x) + -1(5x + -10) = 56 Reorder the terms: 28 + 14x + -1(-10 + 5x) = 56 28 + 14x + (-10 * -1 + 5x * -1) = 56 28 + 14x + (10 + -5x) = 56 Reorder the terms: 28 + 10 + 14x + -5x = 56 Combine like terms: 28 + 10 = 38 38 + 14x + -5x = 56 Combine like terms: 14x + -5x = 9x 38 + 9x = 56 Solving 38 + 9x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 9x = 56 + -38 Combine like terms: 38 + -38 = 0 0 + 9x = 56 + -38 9x = 56 + -38 Combine like terms: 56 + -38 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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