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Simplifying 6x + 1 + -12x = 2x + 4 Reorder the terms: 1 + 6x + -12x = 2x + 4 Combine like terms: 6x + -12x = -6x 1 + -6x = 2x + 4 Reorder the terms: 1 + -6x = 4 + 2x Solving 1 + -6x = 4 + 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. 1 + -6x + -2x = 4 + 2x + -2x Combine like terms: -6x + -2x = -8x 1 + -8x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -8x = 4 + 0 1 + -8x = 4 Add '-1' to each side of the equation. 1 + -1 + -8x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 4 + -1 -8x = 4 + -1 Combine like terms: 4 + -1 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375
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