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Simplifying -13 + 3x = 7(5x + 3) + 2x Reorder the terms: -13 + 3x = 7(3 + 5x) + 2x -13 + 3x = (3 * 7 + 5x * 7) + 2x -13 + 3x = (21 + 35x) + 2x Combine like terms: 35x + 2x = 37x -13 + 3x = 21 + 37x Solving -13 + 3x = 21 + 37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37x' to each side of the equation. -13 + 3x + -37x = 21 + 37x + -37x Combine like terms: 3x + -37x = -34x -13 + -34x = 21 + 37x + -37x Combine like terms: 37x + -37x = 0 -13 + -34x = 21 + 0 -13 + -34x = 21 Add '13' to each side of the equation. -13 + 13 + -34x = 21 + 13 Combine like terms: -13 + 13 = 0 0 + -34x = 21 + 13 -34x = 21 + 13 Combine like terms: 21 + 13 = 34 -34x = 34 Divide each side by '-34'. x = -1 Simplifying x = -1
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