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Simplifying 4x(9 + -6x) + 96 = -8x(5 + 3x) + -56 (9 * 4x + -6x * 4x) + 96 = -8x(5 + 3x) + -56 (36x + -24x2) + 96 = -8x(5 + 3x) + -56 Reorder the terms: 96 + 36x + -24x2 = -8x(5 + 3x) + -56 96 + 36x + -24x2 = (5 * -8x + 3x * -8x) + -56 96 + 36x + -24x2 = (-40x + -24x2) + -56 Reorder the terms: 96 + 36x + -24x2 = -56 + -40x + -24x2 Add '24x2' to each side of the equation. 96 + 36x + -24x2 + 24x2 = -56 + -40x + -24x2 + 24x2 Combine like terms: -24x2 + 24x2 = 0 96 + 36x + 0 = -56 + -40x + -24x2 + 24x2 96 + 36x = -56 + -40x + -24x2 + 24x2 Combine like terms: -24x2 + 24x2 = 0 96 + 36x = -56 + -40x + 0 96 + 36x = -56 + -40x Solving 96 + 36x = -56 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 96 + 36x + 40x = -56 + -40x + 40x Combine like terms: 36x + 40x = 76x 96 + 76x = -56 + -40x + 40x Combine like terms: -40x + 40x = 0 96 + 76x = -56 + 0 96 + 76x = -56 Add '-96' to each side of the equation. 96 + -96 + 76x = -56 + -96 Combine like terms: 96 + -96 = 0 0 + 76x = -56 + -96 76x = -56 + -96 Combine like terms: -56 + -96 = -152 76x = -152 Divide each side by '76'. x = -2 Simplifying x = -2
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