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Simplifying 3X + 8 + 4X = -8(X + -6) + -8(13X + 5) Reorder the terms: 8 + 3X + 4X = -8(X + -6) + -8(13X + 5) Combine like terms: 3X + 4X = 7X 8 + 7X = -8(X + -6) + -8(13X + 5) Reorder the terms: 8 + 7X = -8(-6 + X) + -8(13X + 5) 8 + 7X = (-6 * -8 + X * -8) + -8(13X + 5) 8 + 7X = (48 + -8X) + -8(13X + 5) Reorder the terms: 8 + 7X = 48 + -8X + -8(5 + 13X) 8 + 7X = 48 + -8X + (5 * -8 + 13X * -8) 8 + 7X = 48 + -8X + (-40 + -104X) Reorder the terms: 8 + 7X = 48 + -40 + -8X + -104X Combine like terms: 48 + -40 = 8 8 + 7X = 8 + -8X + -104X Combine like terms: -8X + -104X = -112X 8 + 7X = 8 + -112X Add '-8' to each side of the equation. 8 + -8 + 7X = 8 + -8 + -112X Combine like terms: 8 + -8 = 0 0 + 7X = 8 + -8 + -112X 7X = 8 + -8 + -112X Combine like terms: 8 + -8 = 0 7X = 0 + -112X 7X = -112X Solving 7X = -112X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '112X' to each side of the equation. 7X + 112X = -112X + 112X Combine like terms: 7X + 112X = 119X 119X = -112X + 112X Combine like terms: -112X + 112X = 0 119X = 0 Divide each side by '119'. X = 0 Simplifying X = 0
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