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Simplifying -5x + -13 + -2x = 9(2x + -7) Reorder the terms: -13 + -5x + -2x = 9(2x + -7) Combine like terms: -5x + -2x = -7x -13 + -7x = 9(2x + -7) Reorder the terms: -13 + -7x = 9(-7 + 2x) -13 + -7x = (-7 * 9 + 2x * 9) -13 + -7x = (-63 + 18x) Solving -13 + -7x = -63 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -13 + -7x + -18x = -63 + 18x + -18x Combine like terms: -7x + -18x = -25x -13 + -25x = -63 + 18x + -18x Combine like terms: 18x + -18x = 0 -13 + -25x = -63 + 0 -13 + -25x = -63 Add '13' to each side of the equation. -13 + 13 + -25x = -63 + 13 Combine like terms: -13 + 13 = 0 0 + -25x = -63 + 13 -25x = -63 + 13 Combine like terms: -63 + 13 = -50 -25x = -50 Divide each side by '-25'. x = 2 Simplifying x = 2
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