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Simplifying 5(5x + -8) = 23 + 4x Reorder the terms: 5(-8 + 5x) = 23 + 4x (-8 * 5 + 5x * 5) = 23 + 4x (-40 + 25x) = 23 + 4x Solving -40 + 25x = 23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -40 + 25x + -4x = 23 + 4x + -4x Combine like terms: 25x + -4x = 21x -40 + 21x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 21x = 23 + 0 -40 + 21x = 23 Add '40' to each side of the equation. -40 + 40 + 21x = 23 + 40 Combine like terms: -40 + 40 = 0 0 + 21x = 23 + 40 21x = 23 + 40 Combine like terms: 23 + 40 = 63 21x = 63 Divide each side by '21'. x = 3 Simplifying x = 3
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