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Simplifying 4(5x + 5) + 8(5 + 3x) = -5(8 + -4x) + 6(x + -4) Reorder the terms: 4(5 + 5x) + 8(5 + 3x) = -5(8 + -4x) + 6(x + -4) (5 * 4 + 5x * 4) + 8(5 + 3x) = -5(8 + -4x) + 6(x + -4) (20 + 20x) + 8(5 + 3x) = -5(8 + -4x) + 6(x + -4) 20 + 20x + (5 * 8 + 3x * 8) = -5(8 + -4x) + 6(x + -4) 20 + 20x + (40 + 24x) = -5(8 + -4x) + 6(x + -4) Reorder the terms: 20 + 40 + 20x + 24x = -5(8 + -4x) + 6(x + -4) Combine like terms: 20 + 40 = 60 60 + 20x + 24x = -5(8 + -4x) + 6(x + -4) Combine like terms: 20x + 24x = 44x 60 + 44x = -5(8 + -4x) + 6(x + -4) 60 + 44x = (8 * -5 + -4x * -5) + 6(x + -4) 60 + 44x = (-40 + 20x) + 6(x + -4) Reorder the terms: 60 + 44x = -40 + 20x + 6(-4 + x) 60 + 44x = -40 + 20x + (-4 * 6 + x * 6) 60 + 44x = -40 + 20x + (-24 + 6x) Reorder the terms: 60 + 44x = -40 + -24 + 20x + 6x Combine like terms: -40 + -24 = -64 60 + 44x = -64 + 20x + 6x Combine like terms: 20x + 6x = 26x 60 + 44x = -64 + 26x Solving 60 + 44x = -64 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 60 + 44x + -26x = -64 + 26x + -26x Combine like terms: 44x + -26x = 18x 60 + 18x = -64 + 26x + -26x Combine like terms: 26x + -26x = 0 60 + 18x = -64 + 0 60 + 18x = -64 Add '-60' to each side of the equation. 60 + -60 + 18x = -64 + -60 Combine like terms: 60 + -60 = 0 0 + 18x = -64 + -60 18x = -64 + -60 Combine like terms: -64 + -60 = -124 18x = -124 Divide each side by '18'. x = -6.888888889 Simplifying x = -6.888888889
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