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Simplifying -6x + 2 = -4(2x + 3) Reorder the terms: 2 + -6x = -4(2x + 3) Reorder the terms: 2 + -6x = -4(3 + 2x) 2 + -6x = (3 * -4 + 2x * -4) 2 + -6x = (-12 + -8x) Solving 2 + -6x = -12 + -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. 2 + -6x + 8x = -12 + -8x + 8x Combine like terms: -6x + 8x = 2x 2 + 2x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 2x = -12 + 0 2 + 2x = -12 Add '-2' to each side of the equation. 2 + -2 + 2x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -12 + -2 2x = -12 + -2 Combine like terms: -12 + -2 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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