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Simplifying 32x + -28 = 6(5x + 2) + 404 Reorder the terms: -28 + 32x = 6(5x + 2) + 404 Reorder the terms: -28 + 32x = 6(2 + 5x) + 404 -28 + 32x = (2 * 6 + 5x * 6) + 404 -28 + 32x = (12 + 30x) + 404 Reorder the terms: -28 + 32x = 12 + 404 + 30x Combine like terms: 12 + 404 = 416 -28 + 32x = 416 + 30x Solving -28 + 32x = 416 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -28 + 32x + -30x = 416 + 30x + -30x Combine like terms: 32x + -30x = 2x -28 + 2x = 416 + 30x + -30x Combine like terms: 30x + -30x = 0 -28 + 2x = 416 + 0 -28 + 2x = 416 Add '28' to each side of the equation. -28 + 28 + 2x = 416 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = 416 + 28 2x = 416 + 28 Combine like terms: 416 + 28 = 444 2x = 444 Divide each side by '2'. x = 222 Simplifying x = 222
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