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Simplifying 6x + -23 = x + -5 + (3x + 2) Reorder the terms: -23 + 6x = x + -5 + (3x + 2) Reorder the terms: -23 + 6x = x + -5 + (2 + 3x) Remove parenthesis around (2 + 3x) -23 + 6x = x + -5 + 2 + 3x Reorder the terms: -23 + 6x = -5 + 2 + x + 3x Combine like terms: -5 + 2 = -3 -23 + 6x = -3 + x + 3x Combine like terms: x + 3x = 4x -23 + 6x = -3 + 4x Solving -23 + 6x = -3 + 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. -23 + 6x + -4x = -3 + 4x + -4x Combine like terms: 6x + -4x = 2x -23 + 2x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -23 + 2x = -3 + 0 -23 + 2x = -3 Add '23' to each side of the equation. -23 + 23 + 2x = -3 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = -3 + 23 2x = -3 + 23 Combine like terms: -3 + 23 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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