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Simplifying 5x + -8(x + 5) = 6 + -1x Reorder the terms: 5x + -8(5 + x) = 6 + -1x 5x + (5 * -8 + x * -8) = 6 + -1x 5x + (-40 + -8x) = 6 + -1x Reorder the terms: -40 + 5x + -8x = 6 + -1x Combine like terms: 5x + -8x = -3x -40 + -3x = 6 + -1x Solving -40 + -3x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -40 + -3x + x = 6 + -1x + x Combine like terms: -3x + x = -2x -40 + -2x = 6 + -1x + x Combine like terms: -1x + x = 0 -40 + -2x = 6 + 0 -40 + -2x = 6 Add '40' to each side of the equation. -40 + 40 + -2x = 6 + 40 Combine like terms: -40 + 40 = 0 0 + -2x = 6 + 40 -2x = 6 + 40 Combine like terms: 6 + 40 = 46 -2x = 46 Divide each side by '-2'. x = -23 Simplifying x = -23
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