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Simplifying 8 + 5(x + -8) = 3 + -2(x + -8) Reorder the terms: 8 + 5(-8 + x) = 3 + -2(x + -8) 8 + (-8 * 5 + x * 5) = 3 + -2(x + -8) 8 + (-40 + 5x) = 3 + -2(x + -8) Combine like terms: 8 + -40 = -32 -32 + 5x = 3 + -2(x + -8) Reorder the terms: -32 + 5x = 3 + -2(-8 + x) -32 + 5x = 3 + (-8 * -2 + x * -2) -32 + 5x = 3 + (16 + -2x) Combine like terms: 3 + 16 = 19 -32 + 5x = 19 + -2x Solving -32 + 5x = 19 + -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. -32 + 5x + 2x = 19 + -2x + 2x Combine like terms: 5x + 2x = 7x -32 + 7x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 -32 + 7x = 19 + 0 -32 + 7x = 19 Add '32' to each side of the equation. -32 + 32 + 7x = 19 + 32 Combine like terms: -32 + 32 = 0 0 + 7x = 19 + 32 7x = 19 + 32 Combine like terms: 19 + 32 = 51 7x = 51 Divide each side by '7'. x = 7.285714286 Simplifying x = 7.285714286
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