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Simplifying (3x + 1) + -5 = 3(3x + -7) Reorder the terms: (1 + 3x) + -5 = 3(3x + -7) Remove parenthesis around (1 + 3x) 1 + 3x + -5 = 3(3x + -7) Reorder the terms: 1 + -5 + 3x = 3(3x + -7) Combine like terms: 1 + -5 = -4 -4 + 3x = 3(3x + -7) Reorder the terms: -4 + 3x = 3(-7 + 3x) -4 + 3x = (-7 * 3 + 3x * 3) -4 + 3x = (-21 + 9x) Solving -4 + 3x = -21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + 3x + -9x = -21 + 9x + -9x Combine like terms: 3x + -9x = -6x -4 + -6x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -6x = -21 + 0 -4 + -6x = -21 Add '4' to each side of the equation. -4 + 4 + -6x = -21 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = -21 + 4 -6x = -21 + 4 Combine like terms: -21 + 4 = -17 -6x = -17 Divide each side by '-6'. x = 2.833333333 Simplifying x = 2.833333333
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