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Simplifying 10x + 28(x + -4) = 458 Reorder the terms: 10x + 28(-4 + x) = 458 10x + (-4 * 28 + x * 28) = 458 10x + (-112 + 28x) = 458 Reorder the terms: -112 + 10x + 28x = 458 Combine like terms: 10x + 28x = 38x -112 + 38x = 458 Solving -112 + 38x = 458 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '112' to each side of the equation. -112 + 112 + 38x = 458 + 112 Combine like terms: -112 + 112 = 0 0 + 38x = 458 + 112 38x = 458 + 112 Combine like terms: 458 + 112 = 570 38x = 570 Divide each side by '38'. x = 15 Simplifying x = 15
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