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Simplifying 5(x + -8) + 23 = (x + -7) Reorder the terms: 5(-8 + x) + 23 = (x + -7) (-8 * 5 + x * 5) + 23 = (x + -7) (-40 + 5x) + 23 = (x + -7) Reorder the terms: -40 + 23 + 5x = (x + -7) Combine like terms: -40 + 23 = -17 -17 + 5x = (x + -7) Reorder the terms: -17 + 5x = (-7 + x) Remove parenthesis around (-7 + x) -17 + 5x = -7 + x Solving -17 + 5x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + 5x + -1x = -7 + x + -1x Combine like terms: 5x + -1x = 4x -17 + 4x = -7 + x + -1x Combine like terms: x + -1x = 0 -17 + 4x = -7 + 0 -17 + 4x = -7 Add '17' to each side of the equation. -17 + 17 + 4x = -7 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = -7 + 17 4x = -7 + 17 Combine like terms: -7 + 17 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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