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Simplifying 9x + 7 = 2(1 + 6x) Reorder the terms: 7 + 9x = 2(1 + 6x) 7 + 9x = (1 * 2 + 6x * 2) 7 + 9x = (2 + 12x) Solving 7 + 9x = 2 + 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. 7 + 9x + -12x = 2 + 12x + -12x Combine like terms: 9x + -12x = -3x 7 + -3x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -3x = 2 + 0 7 + -3x = 2 Add '-7' to each side of the equation. 7 + -7 + -3x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 2 + -7 -3x = 2 + -7 Combine like terms: 2 + -7 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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