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Simplifying 7x + 8 = -8(x + -6) + -8(13x + 5) Reorder the terms: 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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