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Simplifying (5x + 13) = (4x + 2) + (2x + -9) Reorder the terms: (13 + 5x) = (4x + 2) + (2x + -9) Remove parenthesis around (13 + 5x) 13 + 5x = (4x + 2) + (2x + -9) Reorder the terms: 13 + 5x = (2 + 4x) + (2x + -9) Remove parenthesis around (2 + 4x) 13 + 5x = 2 + 4x + (2x + -9) Reorder the terms: 13 + 5x = 2 + 4x + (-9 + 2x) Remove parenthesis around (-9 + 2x) 13 + 5x = 2 + 4x + -9 + 2x Reorder the terms: 13 + 5x = 2 + -9 + 4x + 2x Combine like terms: 2 + -9 = -7 13 + 5x = -7 + 4x + 2x Combine like terms: 4x + 2x = 6x 13 + 5x = -7 + 6x Solving 13 + 5x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + 5x + -6x = -7 + 6x + -6x Combine like terms: 5x + -6x = -1x 13 + -1x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -1x = -7 + 0 13 + -1x = -7 Add '-13' to each side of the equation. 13 + -13 + -1x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = -7 + -13 -1x = -7 + -13 Combine like terms: -7 + -13 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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