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Simplifying 12 + 4x = 2[3x + -4] Reorder the terms: 12 + 4x = 2[-4 + 3x] 12 + 4x = [-4 * 2 + 3x * 2] 12 + 4x = [-8 + 6x] Solving 12 + 4x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 4x + -6x = -8 + 6x + -6x Combine like terms: 4x + -6x = -2x 12 + -2x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -2x = -8 + 0 12 + -2x = -8 Add '-12' to each side of the equation. 12 + -12 + -2x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -8 + -12 -2x = -8 + -12 Combine like terms: -8 + -12 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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