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Simplifying 2x + 1 = 6(2x + 1) Reorder the terms: 1 + 2x = 6(2x + 1) Reorder the terms: 1 + 2x = 6(1 + 2x) 1 + 2x = (1 * 6 + 2x * 6) 1 + 2x = (6 + 12x) Solving 1 + 2x = 6 + 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. 1 + 2x + -12x = 6 + 12x + -12x Combine like terms: 2x + -12x = -10x 1 + -10x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + -10x = 6 + 0 1 + -10x = 6 Add '-1' to each side of the equation. 1 + -1 + -10x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 6 + -1 -10x = 6 + -1 Combine like terms: 6 + -1 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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