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Simplifying -2(4x + -2) + 6x = 4(x + 3) Reorder the terms: -2(-2 + 4x) + 6x = 4(x + 3) (-2 * -2 + 4x * -2) + 6x = 4(x + 3) (4 + -8x) + 6x = 4(x + 3) Combine like terms: -8x + 6x = -2x 4 + -2x = 4(x + 3) Reorder the terms: 4 + -2x = 4(3 + x) 4 + -2x = (3 * 4 + x * 4) 4 + -2x = (12 + 4x) Solving 4 + -2x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + -2x + -4x = 12 + 4x + -4x Combine like terms: -2x + -4x = -6x 4 + -6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -6x = 12 + 0 4 + -6x = 12 Add '-4' to each side of the equation. 4 + -4 + -6x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 12 + -4 -6x = 12 + -4 Combine like terms: 12 + -4 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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