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Simplifying 5x + (3x + -3) = 6x + 11 Reorder the terms: 5x + (-3 + 3x) = 6x + 11 Remove parenthesis around (-3 + 3x) 5x + -3 + 3x = 6x + 11 Reorder the terms: -3 + 5x + 3x = 6x + 11 Combine like terms: 5x + 3x = 8x -3 + 8x = 6x + 11 Reorder the terms: -3 + 8x = 11 + 6x Solving -3 + 8x = 11 + 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. -3 + 8x + -6x = 11 + 6x + -6x Combine like terms: 8x + -6x = 2x -3 + 2x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 2x = 11 + 0 -3 + 2x = 11 Add '3' to each side of the equation. -3 + 3 + 2x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 11 + 3 2x = 11 + 3 Combine like terms: 11 + 3 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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