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Simplifying -5x + -17(x + 3) = -3(7x + 4) Reorder the terms: -5x + -17(3 + x) = -3(7x + 4) -5x + (3 * -17 + x * -17) = -3(7x + 4) -5x + (-51 + -17x) = -3(7x + 4) Reorder the terms: -51 + -5x + -17x = -3(7x + 4) Combine like terms: -5x + -17x = -22x -51 + -22x = -3(7x + 4) Reorder the terms: -51 + -22x = -3(4 + 7x) -51 + -22x = (4 * -3 + 7x * -3) -51 + -22x = (-12 + -21x) Solving -51 + -22x = -12 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -51 + -22x + 21x = -12 + -21x + 21x Combine like terms: -22x + 21x = -1x -51 + -1x = -12 + -21x + 21x Combine like terms: -21x + 21x = 0 -51 + -1x = -12 + 0 -51 + -1x = -12 Add '51' to each side of the equation. -51 + 51 + -1x = -12 + 51 Combine like terms: -51 + 51 = 0 0 + -1x = -12 + 51 -1x = -12 + 51 Combine like terms: -12 + 51 = 39 -1x = 39 Divide each side by '-1'. x = -39 Simplifying x = -39
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