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Simplifying 5(x + -8) = 6 + -2(4x + 1) Reorder the terms: 5(-8 + x) = 6 + -2(4x + 1) (-8 * 5 + x * 5) = 6 + -2(4x + 1) (-40 + 5x) = 6 + -2(4x + 1) Reorder the terms: -40 + 5x = 6 + -2(1 + 4x) -40 + 5x = 6 + (1 * -2 + 4x * -2) -40 + 5x = 6 + (-2 + -8x) Combine like terms: 6 + -2 = 4 -40 + 5x = 4 + -8x Solving -40 + 5x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -40 + 5x + 8x = 4 + -8x + 8x Combine like terms: 5x + 8x = 13x -40 + 13x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -40 + 13x = 4 + 0 -40 + 13x = 4 Add '40' to each side of the equation. -40 + 40 + 13x = 4 + 40 Combine like terms: -40 + 40 = 0 0 + 13x = 4 + 40 13x = 4 + 40 Combine like terms: 4 + 40 = 44 13x = 44 Divide each side by '13'. x = 3.384615385 Simplifying x = 3.384615385
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