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Simplifying 2(4x + 6) = 2(8x + -6) Reorder the terms: 2(6 + 4x) = 2(8x + -6) (6 * 2 + 4x * 2) = 2(8x + -6) (12 + 8x) = 2(8x + -6) Reorder the terms: 12 + 8x = 2(-6 + 8x) 12 + 8x = (-6 * 2 + 8x * 2) 12 + 8x = (-12 + 16x) Solving 12 + 8x = -12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 12 + 8x + -16x = -12 + 16x + -16x Combine like terms: 8x + -16x = -8x 12 + -8x = -12 + 16x + -16x Combine like terms: 16x + -16x = 0 12 + -8x = -12 + 0 12 + -8x = -12 Add '-12' to each side of the equation. 12 + -12 + -8x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -12 + -12 -8x = -12 + -12 Combine like terms: -12 + -12 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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