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Simplifying 374 = 2(3x + 9) + 2(x + 30) Reorder the terms: 374 = 2(9 + 3x) + 2(x + 30) 374 = (9 * 2 + 3x * 2) + 2(x + 30) 374 = (18 + 6x) + 2(x + 30) Reorder the terms: 374 = 18 + 6x + 2(30 + x) 374 = 18 + 6x + (30 * 2 + x * 2) 374 = 18 + 6x + (60 + 2x) Reorder the terms: 374 = 18 + 60 + 6x + 2x Combine like terms: 18 + 60 = 78 374 = 78 + 6x + 2x Combine like terms: 6x + 2x = 8x 374 = 78 + 8x Solving 374 = 78 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 374 + -8x = 78 + 8x + -8x Combine like terms: 8x + -8x = 0 374 + -8x = 78 + 0 374 + -8x = 78 Add '-374' to each side of the equation. 374 + -374 + -8x = 78 + -374 Combine like terms: 374 + -374 = 0 0 + -8x = 78 + -374 -8x = 78 + -374 Combine like terms: 78 + -374 = -296 -8x = -296 Divide each side by '-8'. x = 37 Simplifying x = 37
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