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Simplifying 7(x + 3) + -2(x + 4) = 28 Reorder the terms: 7(3 + x) + -2(x + 4) = 28 (3 * 7 + x * 7) + -2(x + 4) = 28 (21 + 7x) + -2(x + 4) = 28 Reorder the terms: 21 + 7x + -2(4 + x) = 28 21 + 7x + (4 * -2 + x * -2) = 28 21 + 7x + (-8 + -2x) = 28 Reorder the terms: 21 + -8 + 7x + -2x = 28 Combine like terms: 21 + -8 = 13 13 + 7x + -2x = 28 Combine like terms: 7x + -2x = 5x 13 + 5x = 28 Solving 13 + 5x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5x = 28 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 28 + -13 5x = 28 + -13 Combine like terms: 28 + -13 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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