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Simplifying 3(4x + -7) = 2(3x + 11) Reorder the terms: 3(-7 + 4x) = 2(3x + 11) (-7 * 3 + 4x * 3) = 2(3x + 11) (-21 + 12x) = 2(3x + 11) Reorder the terms: -21 + 12x = 2(11 + 3x) -21 + 12x = (11 * 2 + 3x * 2) -21 + 12x = (22 + 6x) Solving -21 + 12x = 22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -21 + 12x + -6x = 22 + 6x + -6x Combine like terms: 12x + -6x = 6x -21 + 6x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 6x = 22 + 0 -21 + 6x = 22 Add '21' to each side of the equation. -21 + 21 + 6x = 22 + 21 Combine like terms: -21 + 21 = 0 0 + 6x = 22 + 21 6x = 22 + 21 Combine like terms: 22 + 21 = 43 6x = 43 Divide each side by '6'. x = 7.166666667 Simplifying x = 7.166666667
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