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