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Simplifying (5x + -7) + (3x + 3) = (5x + 14) Reorder the terms: (-7 + 5x) + (3x + 3) = (5x + 14) Remove parenthesis around (-7 + 5x) -7 + 5x + (3x + 3) = (5x + 14) Reorder the terms: -7 + 5x + (3 + 3x) = (5x + 14) Remove parenthesis around (3 + 3x) -7 + 5x + 3 + 3x = (5x + 14) Reorder the terms: -7 + 3 + 5x + 3x = (5x + 14) Combine like terms: -7 + 3 = -4 -4 + 5x + 3x = (5x + 14) Combine like terms: 5x + 3x = 8x -4 + 8x = (5x + 14) Reorder the terms: -4 + 8x = (14 + 5x) Remove parenthesis around (14 + 5x) -4 + 8x = 14 + 5x Solving -4 + 8x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 8x + -5x = 14 + 5x + -5x Combine like terms: 8x + -5x = 3x -4 + 3x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 3x = 14 + 0 -4 + 3x = 14 Add '4' to each side of the equation. -4 + 4 + 3x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 14 + 4 3x = 14 + 4 Combine like terms: 14 + 4 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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