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Simplifying 5(x + -8) + 26 + c = -2 + -7 + c Reorder the terms: 5(-8 + x) + 26 + c = -2 + -7 + c (-8 * 5 + x * 5) + 26 + c = -2 + -7 + c (-40 + 5x) + 26 + c = -2 + -7 + c Reorder the terms: -40 + 26 + c + 5x = -2 + -7 + c Combine like terms: -40 + 26 = -14 -14 + c + 5x = -2 + -7 + c Combine like terms: -2 + -7 = -9 -14 + c + 5x = -9 + c Add '-1c' to each side of the equation. -14 + c + -1c + 5x = -9 + c + -1c Combine like terms: c + -1c = 0 -14 + 0 + 5x = -9 + c + -1c -14 + 5x = -9 + c + -1c Combine like terms: c + -1c = 0 -14 + 5x = -9 + 0 -14 + 5x = -9 Solving -14 + 5x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 5x = -9 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = -9 + 14 5x = -9 + 14 Combine like terms: -9 + 14 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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