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