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Simplifying (6x + -23) + -1(x + -5) = 3x + 2 Reorder the terms: (-23 + 6x) + -1(x + -5) = 3x + 2 Remove parenthesis around (-23 + 6x) -23 + 6x + -1(x + -5) = 3x + 2 Reorder the terms: -23 + 6x + -1(-5 + x) = 3x + 2 -23 + 6x + (-5 * -1 + x * -1) = 3x + 2 -23 + 6x + (5 + -1x) = 3x + 2 Reorder the terms: -23 + 5 + 6x + -1x = 3x + 2 Combine like terms: -23 + 5 = -18 -18 + 6x + -1x = 3x + 2 Combine like terms: 6x + -1x = 5x -18 + 5x = 3x + 2 Reorder the terms: -18 + 5x = 2 + 3x Solving -18 + 5x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 5x + -3x = 2 + 3x + -3x Combine like terms: 5x + -3x = 2x -18 + 2x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 2x = 2 + 0 -18 + 2x = 2 Add '18' to each side of the equation. -18 + 18 + 2x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 2 + 18 2x = 2 + 18 Combine like terms: 2 + 18 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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