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Simplifying 5(3x + -8) = 13x + 7 Reorder the terms: 5(-8 + 3x) = 13x + 7 (-8 * 5 + 3x * 5) = 13x + 7 (-40 + 15x) = 13x + 7 Reorder the terms: -40 + 15x = 7 + 13x Solving -40 + 15x = 7 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -40 + 15x + -13x = 7 + 13x + -13x Combine like terms: 15x + -13x = 2x -40 + 2x = 7 + 13x + -13x Combine like terms: 13x + -13x = 0 -40 + 2x = 7 + 0 -40 + 2x = 7 Add '40' to each side of the equation. -40 + 40 + 2x = 7 + 40 Combine like terms: -40 + 40 = 0 0 + 2x = 7 + 40 2x = 7 + 40 Combine like terms: 7 + 40 = 47 2x = 47 Divide each side by '2'. x = 23.5 Simplifying x = 23.5
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