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Simplifying 3(3x + -7) = 5(2x + -3) * method Reorder the terms: 3(-7 + 3x) = 5(2x + -3) * method (-7 * 3 + 3x * 3) = 5(2x + -3) * method (-21 + 9x) = 5(2x + -3) * method Reorder the terms: -21 + 9x = 5(-3 + 2x) * method Reorder the terms for easier multiplication: -21 + 9x = 5dehmot(-3 + 2x) -21 + 9x = (-3 * 5dehmot + 2x * 5dehmot) -21 + 9x = (-15dehmot + 10dehmotx) Solving -21 + 9x = -15dehmot + 10dehmotx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10dehmotx' to each side of the equation. -21 + -10dehmotx + 9x = -15dehmot + 10dehmotx + -10dehmotx Combine like terms: 10dehmotx + -10dehmotx = 0 -21 + -10dehmotx + 9x = -15dehmot + 0 -21 + -10dehmotx + 9x = -15dehmot Add '21' to each side of the equation. -21 + -10dehmotx + 21 + 9x = 21 + -15dehmot Reorder the terms: -21 + 21 + -10dehmotx + 9x = 21 + -15dehmot Combine like terms: -21 + 21 = 0 0 + -10dehmotx + 9x = 21 + -15dehmot -10dehmotx + 9x = 21 + -15dehmot Reorder the terms: -21 + 15dehmot + -10dehmotx + 9x = 21 + -15dehmot + -21 + 15dehmot Reorder the terms: -21 + 15dehmot + -10dehmotx + 9x = 21 + -21 + -15dehmot + 15dehmot Combine like terms: 21 + -21 = 0 -21 + 15dehmot + -10dehmotx + 9x = 0 + -15dehmot + 15dehmot -21 + 15dehmot + -10dehmotx + 9x = -15dehmot + 15dehmot Combine like terms: -15dehmot + 15dehmot = 0 -21 + 15dehmot + -10dehmotx + 9x = 0 The solution to this equation could not be determined.
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