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Simplifying (5x + -3) = (3x + 1) + (x + 11) Reorder the terms: (-3 + 5x) = (3x + 1) + (x + 11) Remove parenthesis around (-3 + 5x) -3 + 5x = (3x + 1) + (x + 11) Reorder the terms: -3 + 5x = (1 + 3x) + (x + 11) Remove parenthesis around (1 + 3x) -3 + 5x = 1 + 3x + (x + 11) Reorder the terms: -3 + 5x = 1 + 3x + (11 + x) Remove parenthesis around (11 + x) -3 + 5x = 1 + 3x + 11 + x Reorder the terms: -3 + 5x = 1 + 11 + 3x + x Combine like terms: 1 + 11 = 12 -3 + 5x = 12 + 3x + x Combine like terms: 3x + x = 4x -3 + 5x = 12 + 4x Solving -3 + 5x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + 5x + -4x = 12 + 4x + -4x Combine like terms: 5x + -4x = 1x -3 + 1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 1x = 12 + 0 -3 + 1x = 12 Add '3' to each side of the equation. -3 + 3 + 1x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 12 + 3 1x = 12 + 3 Combine like terms: 12 + 3 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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