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Simplifying 3(1 + 6x) = 11 + 2(12x + -7) (1 * 3 + 6x * 3) = 11 + 2(12x + -7) (3 + 18x) = 11 + 2(12x + -7) Reorder the terms: 3 + 18x = 11 + 2(-7 + 12x) 3 + 18x = 11 + (-7 * 2 + 12x * 2) 3 + 18x = 11 + (-14 + 24x) Combine like terms: 11 + -14 = -3 3 + 18x = -3 + 24x Solving 3 + 18x = -3 + 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. 3 + 18x + -24x = -3 + 24x + -24x Combine like terms: 18x + -24x = -6x 3 + -6x = -3 + 24x + -24x Combine like terms: 24x + -24x = 0 3 + -6x = -3 + 0 3 + -6x = -3 Add '-3' to each side of the equation. 3 + -3 + -6x = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -3 + -3 -6x = -3 + -3 Combine like terms: -3 + -3 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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