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Simplifying -6x + 4 = -2(4x + 3) Reorder the terms: 4 + -6x = -2(4x + 3) Reorder the terms: 4 + -6x = -2(3 + 4x) 4 + -6x = (3 * -2 + 4x * -2) 4 + -6x = (-6 + -8x) Solving 4 + -6x = -6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 4 + -6x + 8x = -6 + -8x + 8x Combine like terms: -6x + 8x = 2x 4 + 2x = -6 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 2x = -6 + 0 4 + 2x = -6 Add '-4' to each side of the equation. 4 + -4 + 2x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -6 + -4 2x = -6 + -4 Combine like terms: -6 + -4 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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