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Simplifying (6x + 1) * 2 = (6x) * 2 + 2(6x)(1) + (1) * 2 Reorder the terms: (1 + 6x) * 2 = (6x) * 2 + 2(6x)(1) + (1) * 2 Reorder the terms for easier multiplication: 2(1 + 6x) = (6x) * 2 + 2(6x)(1) + (1) * 2 (1 * 2 + 6x * 2) = (6x) * 2 + 2(6x)(1) + (1) * 2 (2 + 12x) = (6x) * 2 + 2(6x)(1) + (1) * 2 Remove parenthesis around (6x) 2 + 12x = 6x * 2 + 2(6x)(1) + (1) * 2 Reorder the terms for easier multiplication: 2 + 12x = 6 * 2x + 2(6x)(1) + (1) * 2 Multiply 6 * 2 2 + 12x = 12x + 2(6x)(1) + (1) * 2 Remove parenthesis around (6x) 2 + 12x = 12x + 2 * 6x(1) + (1) * 2 Reorder the terms for easier multiplication: 2 + 12x = 12x + 2 * 6 * 1x + (1) * 2 Multiply 2 * 6 2 + 12x = 12x + 12 * 1x + (1) * 2 Multiply 12 * 1 2 + 12x = 12x + 12x + (1) * 2 Multiply 1 * 2 2 + 12x = 12x + 12x + 2 Reorder the terms: 2 + 12x = 2 + 12x + 12x Combine like terms: 12x + 12x = 24x 2 + 12x = 2 + 24x Add '-2' to each side of the equation. 2 + -2 + 12x = 2 + -2 + 24x Combine like terms: 2 + -2 = 0 0 + 12x = 2 + -2 + 24x 12x = 2 + -2 + 24x Combine like terms: 2 + -2 = 0 12x = 0 + 24x 12x = 24x Solving 12x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 12x + -24x = 24x + -24x Combine like terms: 12x + -24x = -12x -12x = 24x + -24x Combine like terms: 24x + -24x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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