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Simplifying 6(2 + x) = 6(2x + -1) + -36 (2 * 6 + x * 6) = 6(2x + -1) + -36 (12 + 6x) = 6(2x + -1) + -36 Reorder the terms: 12 + 6x = 6(-1 + 2x) + -36 12 + 6x = (-1 * 6 + 2x * 6) + -36 12 + 6x = (-6 + 12x) + -36 Reorder the terms: 12 + 6x = -6 + -36 + 12x Combine like terms: -6 + -36 = -42 12 + 6x = -42 + 12x Solving 12 + 6x = -42 + 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. 12 + 6x + -12x = -42 + 12x + -12x Combine like terms: 6x + -12x = -6x 12 + -6x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -6x = -42 + 0 12 + -6x = -42 Add '-12' to each side of the equation. 12 + -12 + -6x = -42 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -42 + -12 -6x = -42 + -12 Combine like terms: -42 + -12 = -54 -6x = -54 Divide each side by '-6'. x = 9 Simplifying x = 9
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