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Simplifying 5(3x + -8) = 2x + -1 Reorder the terms: 5(-8 + 3x) = 2x + -1 (-8 * 5 + 3x * 5) = 2x + -1 (-40 + 15x) = 2x + -1 Reorder the terms: -40 + 15x = -1 + 2x Solving -40 + 15x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -40 + 15x + -2x = -1 + 2x + -2x Combine like terms: 15x + -2x = 13x -40 + 13x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 13x = -1 + 0 -40 + 13x = -1 Add '40' to each side of the equation. -40 + 40 + 13x = -1 + 40 Combine like terms: -40 + 40 = 0 0 + 13x = -1 + 40 13x = -1 + 40 Combine like terms: -1 + 40 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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