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Simplifying 2(6x + 4) + 6 = 4(2x + -4) + -14 Reorder the terms: 2(4 + 6x) + 6 = 4(2x + -4) + -14 (4 * 2 + 6x * 2) + 6 = 4(2x + -4) + -14 (8 + 12x) + 6 = 4(2x + -4) + -14 Reorder the terms: 8 + 6 + 12x = 4(2x + -4) + -14 Combine like terms: 8 + 6 = 14 14 + 12x = 4(2x + -4) + -14 Reorder the terms: 14 + 12x = 4(-4 + 2x) + -14 14 + 12x = (-4 * 4 + 2x * 4) + -14 14 + 12x = (-16 + 8x) + -14 Reorder the terms: 14 + 12x = -16 + -14 + 8x Combine like terms: -16 + -14 = -30 14 + 12x = -30 + 8x Solving 14 + 12x = -30 + 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. 14 + 12x + -8x = -30 + 8x + -8x Combine like terms: 12x + -8x = 4x 14 + 4x = -30 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 4x = -30 + 0 14 + 4x = -30 Add '-14' to each side of the equation. 14 + -14 + 4x = -30 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = -30 + -14 4x = -30 + -14 Combine like terms: -30 + -14 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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