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