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Simplifying x + -1(6 + -1x) = 15 + (3 + -2x) x + (6 * -1 + -1x * -1) = 15 + (3 + -2x) x + (-6 + 1x) = 15 + (3 + -2x) Reorder the terms: -6 + x + 1x = 15 + (3 + -2x) Combine like terms: x + 1x = 2x -6 + 2x = 15 + (3 + -2x) Remove parenthesis around (3 + -2x) -6 + 2x = 15 + 3 + -2x Combine like terms: 15 + 3 = 18 -6 + 2x = 18 + -2x Solving -6 + 2x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 2x + 2x = 18 + -2x + 2x Combine like terms: 2x + 2x = 4x -6 + 4x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 4x = 18 + 0 -6 + 4x = 18 Add '6' to each side of the equation. -6 + 6 + 4x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 18 + 6 4x = 18 + 6 Combine like terms: 18 + 6 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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