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Simplifying -3(2x + -4) + 2 = 2(x + -4) + 6 Reorder the terms: -3(-4 + 2x) + 2 = 2(x + -4) + 6 (-4 * -3 + 2x * -3) + 2 = 2(x + -4) + 6 (12 + -6x) + 2 = 2(x + -4) + 6 Reorder the terms: 12 + 2 + -6x = 2(x + -4) + 6 Combine like terms: 12 + 2 = 14 14 + -6x = 2(x + -4) + 6 Reorder the terms: 14 + -6x = 2(-4 + x) + 6 14 + -6x = (-4 * 2 + x * 2) + 6 14 + -6x = (-8 + 2x) + 6 Reorder the terms: 14 + -6x = -8 + 6 + 2x Combine like terms: -8 + 6 = -2 14 + -6x = -2 + 2x Solving 14 + -6x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 14 + -6x + -2x = -2 + 2x + -2x Combine like terms: -6x + -2x = -8x 14 + -8x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -8x = -2 + 0 14 + -8x = -2 Add '-14' to each side of the equation. 14 + -14 + -8x = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = -2 + -14 -8x = -2 + -14 Combine like terms: -2 + -14 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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