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Simplifying x + -6 + 4x = 2(x + -6) + x Reorder the terms: -6 + x + 4x = 2(x + -6) + x Combine like terms: x + 4x = 5x -6 + 5x = 2(x + -6) + x Reorder the terms: -6 + 5x = 2(-6 + x) + x -6 + 5x = (-6 * 2 + x * 2) + x -6 + 5x = (-12 + 2x) + x Combine like terms: 2x + x = 3x -6 + 5x = -12 + 3x Solving -6 + 5x = -12 + 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. -6 + 5x + -3x = -12 + 3x + -3x Combine like terms: 5x + -3x = 2x -6 + 2x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 2x = -12 + 0 -6 + 2x = -12 Add '6' to each side of the equation. -6 + 6 + 2x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -12 + 6 2x = -12 + 6 Combine like terms: -12 + 6 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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