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Simplifying 5x + 3(2x + -7) = cx + d Reorder the terms: 5x + 3(-7 + 2x) = cx + d 5x + (-7 * 3 + 2x * 3) = cx + d 5x + (-21 + 6x) = cx + d Reorder the terms: -21 + 5x + 6x = cx + d Combine like terms: 5x + 6x = 11x -21 + 11x = cx + d Solving -21 + 11x = cx + d Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1cx' to each side of the equation. -21 + -1cx + 11x = cx + -1cx + d Combine like terms: cx + -1cx = 0 -21 + -1cx + 11x = 0 + d -21 + -1cx + 11x = d Add '21' to each side of the equation. -21 + -1cx + 21 + 11x = 21 + d Reorder the terms: -21 + 21 + -1cx + 11x = 21 + d Combine like terms: -21 + 21 = 0 0 + -1cx + 11x = 21 + d -1cx + 11x = 21 + d Reorder the terms: -21 + -1cx + -1d + 11x = 21 + d + -21 + -1d Reorder the terms: -21 + -1cx + -1d + 11x = 21 + -21 + d + -1d Combine like terms: 21 + -21 = 0 -21 + -1cx + -1d + 11x = 0 + d + -1d -21 + -1cx + -1d + 11x = d + -1d Combine like terms: d + -1d = 0 -21 + -1cx + -1d + 11x = 0 The solution to this equation could not be determined.
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