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Simplifying 15 + -1(x + -6) = 6 + -1(3x + 5) Reorder the terms: 15 + -1(-6 + x) = 6 + -1(3x + 5) 15 + (-6 * -1 + x * -1) = 6 + -1(3x + 5) 15 + (6 + -1x) = 6 + -1(3x + 5) Combine like terms: 15 + 6 = 21 21 + -1x = 6 + -1(3x + 5) Reorder the terms: 21 + -1x = 6 + -1(5 + 3x) 21 + -1x = 6 + (5 * -1 + 3x * -1) 21 + -1x = 6 + (-5 + -3x) Combine like terms: 6 + -5 = 1 21 + -1x = 1 + -3x Solving 21 + -1x = 1 + -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. 21 + -1x + 3x = 1 + -3x + 3x Combine like terms: -1x + 3x = 2x 21 + 2x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 21 + 2x = 1 + 0 21 + 2x = 1 Add '-21' to each side of the equation. 21 + -21 + 2x = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 1 + -21 2x = 1 + -21 Combine like terms: 1 + -21 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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