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Simplifying 6 + -1(3x + 5) = 15 + -1(x + -6) Reorder the terms: 6 + -1(5 + 3x) = 15 + -1(x + -6) 6 + (5 * -1 + 3x * -1) = 15 + -1(x + -6) 6 + (-5 + -3x) = 15 + -1(x + -6) Combine like terms: 6 + -5 = 1 1 + -3x = 15 + -1(x + -6) Reorder the terms: 1 + -3x = 15 + -1(-6 + x) 1 + -3x = 15 + (-6 * -1 + x * -1) 1 + -3x = 15 + (6 + -1x) Combine like terms: 15 + 6 = 21 1 + -3x = 21 + -1x Solving 1 + -3x = 21 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + -3x + x = 21 + -1x + x Combine like terms: -3x + x = -2x 1 + -2x = 21 + -1x + x Combine like terms: -1x + x = 0 1 + -2x = 21 + 0 1 + -2x = 21 Add '-1' to each side of the equation. 1 + -1 + -2x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 21 + -1 -2x = 21 + -1 Combine like terms: 21 + -1 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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