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Simplifying 3(6x + -7) = 2(6x + 9) Reorder the terms: 3(-7 + 6x) = 2(6x + 9) (-7 * 3 + 6x * 3) = 2(6x + 9) (-21 + 18x) = 2(6x + 9) Reorder the terms: -21 + 18x = 2(9 + 6x) -21 + 18x = (9 * 2 + 6x * 2) -21 + 18x = (18 + 12x) Solving -21 + 18x = 18 + 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. -21 + 18x + -12x = 18 + 12x + -12x Combine like terms: 18x + -12x = 6x -21 + 6x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -21 + 6x = 18 + 0 -21 + 6x = 18 Add '21' to each side of the equation. -21 + 21 + 6x = 18 + 21 Combine like terms: -21 + 21 = 0 0 + 6x = 18 + 21 6x = 18 + 21 Combine like terms: 18 + 21 = 39 6x = 39 Divide each side by '6'. x = 6.5 Simplifying x = 6.5
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