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Simplifying 2(3x + 6) + -96 = 6(2x + -4) + -56 Reorder the terms: 2(6 + 3x) + -96 = 6(2x + -4) + -56 (6 * 2 + 3x * 2) + -96 = 6(2x + -4) + -56 (12 + 6x) + -96 = 6(2x + -4) + -56 Reorder the terms: 12 + -96 + 6x = 6(2x + -4) + -56 Combine like terms: 12 + -96 = -84 -84 + 6x = 6(2x + -4) + -56 Reorder the terms: -84 + 6x = 6(-4 + 2x) + -56 -84 + 6x = (-4 * 6 + 2x * 6) + -56 -84 + 6x = (-24 + 12x) + -56 Reorder the terms: -84 + 6x = -24 + -56 + 12x Combine like terms: -24 + -56 = -80 -84 + 6x = -80 + 12x Solving -84 + 6x = -80 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -84 + 6x + -12x = -80 + 12x + -12x Combine like terms: 6x + -12x = -6x -84 + -6x = -80 + 12x + -12x Combine like terms: 12x + -12x = 0 -84 + -6x = -80 + 0 -84 + -6x = -80 Add '84' to each side of the equation. -84 + 84 + -6x = -80 + 84 Combine like terms: -84 + 84 = 0 0 + -6x = -80 + 84 -6x = -80 + 84 Combine like terms: -80 + 84 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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