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