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Simplifying 3x + 3 + -2x = 5x + 5 + 6 Reorder the terms: 3 + 3x + -2x = 5x + 5 + 6 Combine like terms: 3x + -2x = 1x 3 + 1x = 5x + 5 + 6 Reorder the terms: 3 + 1x = 5 + 6 + 5x Combine like terms: 5 + 6 = 11 3 + 1x = 11 + 5x Solving 3 + 1x = 11 + 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. 3 + 1x + -5x = 11 + 5x + -5x Combine like terms: 1x + -5x = -4x 3 + -4x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -4x = 11 + 0 3 + -4x = 11 Add '-3' to each side of the equation. 3 + -3 + -4x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 11 + -3 -4x = 11 + -3 Combine like terms: 11 + -3 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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