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Simplifying x + 1 + 2x + 2 + 3x + 3 + 4x = 12x + 4 Reorder the terms: 1 + 2 + 3 + x + 2x + 3x + 4x = 12x + 4 Combine like terms: 1 + 2 = 3 3 + 3 + x + 2x + 3x + 4x = 12x + 4 Combine like terms: 3 + 3 = 6 6 + x + 2x + 3x + 4x = 12x + 4 Combine like terms: x + 2x = 3x 6 + 3x + 3x + 4x = 12x + 4 Combine like terms: 3x + 3x = 6x 6 + 6x + 4x = 12x + 4 Combine like terms: 6x + 4x = 10x 6 + 10x = 12x + 4 Reorder the terms: 6 + 10x = 4 + 12x Solving 6 + 10x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 10x + -12x = 4 + 12x + -12x Combine like terms: 10x + -12x = -2x 6 + -2x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -2x = 4 + 0 6 + -2x = 4 Add '-6' to each side of the equation. 6 + -6 + -2x = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 4 + -6 -2x = 4 + -6 Combine like terms: 4 + -6 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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