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Simplifying 3x + -8(5 + -1x) = 2x + 5 3x + (5 * -8 + -1x * -8) = 2x + 5 3x + (-40 + 8x) = 2x + 5 Reorder the terms: -40 + 3x + 8x = 2x + 5 Combine like terms: 3x + 8x = 11x -40 + 11x = 2x + 5 Reorder the terms: -40 + 11x = 5 + 2x Solving -40 + 11x = 5 + 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 + 11x + -2x = 5 + 2x + -2x Combine like terms: 11x + -2x = 9x -40 + 9x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 9x = 5 + 0 -40 + 9x = 5 Add '40' to each side of the equation. -40 + 40 + 9x = 5 + 40 Combine like terms: -40 + 40 = 0 0 + 9x = 5 + 40 9x = 5 + 40 Combine like terms: 5 + 40 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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