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Simplifying 8(2x + 1) + 2x = 12x + 50 Reorder the terms: 8(1 + 2x) + 2x = 12x + 50 (1 * 8 + 2x * 8) + 2x = 12x + 50 (8 + 16x) + 2x = 12x + 50 Combine like terms: 16x + 2x = 18x 8 + 18x = 12x + 50 Reorder the terms: 8 + 18x = 50 + 12x Solving 8 + 18x = 50 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 18x + -12x = 50 + 12x + -12x Combine like terms: 18x + -12x = 6x 8 + 6x = 50 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + 6x = 50 + 0 8 + 6x = 50 Add '-8' to each side of the equation. 8 + -8 + 6x = 50 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 50 + -8 6x = 50 + -8 Combine like terms: 50 + -8 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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