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Simplifying 28(3x + 45) + 28(x + 26) = 28(17) Reorder the terms: 28(45 + 3x) + 28(x + 26) = 28(17) (45 * 28 + 3x * 28) + 28(x + 26) = 28(17) (1260 + 84x) + 28(x + 26) = 28(17) Reorder the terms: 1260 + 84x + 28(26 + x) = 28(17) 1260 + 84x + (26 * 28 + x * 28) = 28(17) 1260 + 84x + (728 + 28x) = 28(17) Reorder the terms: 1260 + 728 + 84x + 28x = 28(17) Combine like terms: 1260 + 728 = 1988 1988 + 84x + 28x = 28(17) Combine like terms: 84x + 28x = 112x 1988 + 112x = 28(17) Multiply 28 * 17 1988 + 112x = 476 Solving 1988 + 112x = 476 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1988' to each side of the equation. 1988 + -1988 + 112x = 476 + -1988 Combine like terms: 1988 + -1988 = 0 0 + 112x = 476 + -1988 112x = 476 + -1988 Combine like terms: 476 + -1988 = -1512 112x = -1512 Divide each side by '112'. x = -13.5 Simplifying x = -13.5
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