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Simplifying x + -6 = x + -3(x + -6) Reorder the terms: -6 + x = x + -3(x + -6) Reorder the terms: -6 + x = x + -3(-6 + x) -6 + x = x + (-6 * -3 + x * -3) -6 + x = x + (18 + -3x) Reorder the terms: -6 + x = 18 + x + -3x Combine like terms: x + -3x = -2x -6 + x = 18 + -2x Solving -6 + x = 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 + x + 2x = 18 + -2x + 2x Combine like terms: x + 2x = 3x -6 + 3x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 3x = 18 + 0 -6 + 3x = 18 Add '6' to each side of the equation. -6 + 6 + 3x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 18 + 6 3x = 18 + 6 Combine like terms: 18 + 6 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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