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Simplifying 3x + 8(x + -4) = 5(x + -8) Reorder the terms: 3x + 8(-4 + x) = 5(x + -8) 3x + (-4 * 8 + x * 8) = 5(x + -8) 3x + (-32 + 8x) = 5(x + -8) Reorder the terms: -32 + 3x + 8x = 5(x + -8) Combine like terms: 3x + 8x = 11x -32 + 11x = 5(x + -8) Reorder the terms: -32 + 11x = 5(-8 + x) -32 + 11x = (-8 * 5 + x * 5) -32 + 11x = (-40 + 5x) Solving -32 + 11x = -40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -32 + 11x + -5x = -40 + 5x + -5x Combine like terms: 11x + -5x = 6x -32 + 6x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 6x = -40 + 0 -32 + 6x = -40 Add '32' to each side of the equation. -32 + 32 + 6x = -40 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = -40 + 32 6x = -40 + 32 Combine like terms: -40 + 32 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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