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Simplifying 3(3x + -7) = 4(3x + 3) Reorder the terms: 3(-7 + 3x) = 4(3x + 3) (-7 * 3 + 3x * 3) = 4(3x + 3) (-21 + 9x) = 4(3x + 3) Reorder the terms: -21 + 9x = 4(3 + 3x) -21 + 9x = (3 * 4 + 3x * 4) -21 + 9x = (12 + 12x) Solving -21 + 9x = 12 + 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 + 9x + -12x = 12 + 12x + -12x Combine like terms: 9x + -12x = -3x -21 + -3x = 12 + 12x + -12x Combine like terms: 12x + -12x = 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 = 33 -3x = 33 Divide each side by '-3'. x = -11 Simplifying x = -11
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