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Simplifying 374 = 3x + 7(-6 + 7x) 374 = 3x + (-6 * 7 + 7x * 7) 374 = 3x + (-42 + 49x) Reorder the terms: 374 = -42 + 3x + 49x Combine like terms: 3x + 49x = 52x 374 = -42 + 52x Solving 374 = -42 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 374 + -52x = -42 + 52x + -52x Combine like terms: 52x + -52x = 0 374 + -52x = -42 + 0 374 + -52x = -42 Add '-374' to each side of the equation. 374 + -374 + -52x = -42 + -374 Combine like terms: 374 + -374 = 0 0 + -52x = -42 + -374 -52x = -42 + -374 Combine like terms: -42 + -374 = -416 -52x = -416 Divide each side by '-52'. x = 8 Simplifying x = 8
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