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Simplifying -8(5 + -3x) = 2(x + 11) (5 * -8 + -3x * -8) = 2(x + 11) (-40 + 24x) = 2(x + 11) Reorder the terms: -40 + 24x = 2(11 + x) -40 + 24x = (11 * 2 + x * 2) -40 + 24x = (22 + 2x) Solving -40 + 24x = 22 + 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 + 24x + -2x = 22 + 2x + -2x Combine like terms: 24x + -2x = 22x -40 + 22x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 22x = 22 + 0 -40 + 22x = 22 Add '40' to each side of the equation. -40 + 40 + 22x = 22 + 40 Combine like terms: -40 + 40 = 0 0 + 22x = 22 + 40 22x = 22 + 40 Combine like terms: 22 + 40 = 62 22x = 62 Divide each side by '22'. x = 2.818181818 Simplifying x = 2.818181818
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