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Simplifying 2x + 12 = 2(4x + -6) Reorder the terms: 12 + 2x = 2(4x + -6) Reorder the terms: 12 + 2x = 2(-6 + 4x) 12 + 2x = (-6 * 2 + 4x * 2) 12 + 2x = (-12 + 8x) Solving 12 + 2x = -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. 12 + 2x + -8x = -12 + 8x + -8x Combine like terms: 2x + -8x = -6x 12 + -6x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -6x = -12 + 0 12 + -6x = -12 Add '-12' to each side of the equation. 12 + -12 + -6x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -12 + -12 -6x = -12 + -12 Combine like terms: -12 + -12 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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