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Simplifying 2x + (x + -6) = 15 + -1(x + 1) Reorder the terms: 2x + (-6 + x) = 15 + -1(x + 1) Remove parenthesis around (-6 + x) 2x + -6 + x = 15 + -1(x + 1) Reorder the terms: -6 + 2x + x = 15 + -1(x + 1) Combine like terms: 2x + x = 3x -6 + 3x = 15 + -1(x + 1) Reorder the terms: -6 + 3x = 15 + -1(1 + x) -6 + 3x = 15 + (1 * -1 + x * -1) -6 + 3x = 15 + (-1 + -1x) Combine like terms: 15 + -1 = 14 -6 + 3x = 14 + -1x Solving -6 + 3x = 14 + -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. -6 + 3x + x = 14 + -1x + x Combine like terms: 3x + x = 4x -6 + 4x = 14 + -1x + x Combine like terms: -1x + x = 0 -6 + 4x = 14 + 0 -6 + 4x = 14 Add '6' to each side of the equation. -6 + 6 + 4x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 14 + 6 4x = 14 + 6 Combine like terms: 14 + 6 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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