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