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Simplifying 10(x + 20) + -6x + 4 = 392 Reorder the terms: 10(20 + x) + -6x + 4 = 392 (20 * 10 + x * 10) + -6x + 4 = 392 (200 + 10x) + -6x + 4 = 392 Reorder the terms: 200 + 4 + 10x + -6x = 392 Combine like terms: 200 + 4 = 204 204 + 10x + -6x = 392 Combine like terms: 10x + -6x = 4x 204 + 4x = 392 Solving 204 + 4x = 392 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-204' to each side of the equation. 204 + -204 + 4x = 392 + -204 Combine like terms: 204 + -204 = 0 0 + 4x = 392 + -204 4x = 392 + -204 Combine like terms: 392 + -204 = 188 4x = 188 Divide each side by '4'. x = 47 Simplifying x = 47
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