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Simplifying 6(2x + 1) + 7 = 9x + 1 Reorder the terms: 6(1 + 2x) + 7 = 9x + 1 (1 * 6 + 2x * 6) + 7 = 9x + 1 (6 + 12x) + 7 = 9x + 1 Reorder the terms: 6 + 7 + 12x = 9x + 1 Combine like terms: 6 + 7 = 13 13 + 12x = 9x + 1 Reorder the terms: 13 + 12x = 1 + 9x Solving 13 + 12x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 13 + 12x + -9x = 1 + 9x + -9x Combine like terms: 12x + -9x = 3x 13 + 3x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + 3x = 1 + 0 13 + 3x = 1 Add '-13' to each side of the equation. 13 + -13 + 3x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 1 + -13 3x = 1 + -13 Combine like terms: 1 + -13 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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