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Simplifying 2x + 8(x + -5) = 2(x + -8) Reorder the terms: 2x + 8(-5 + x) = 2(x + -8) 2x + (-5 * 8 + x * 8) = 2(x + -8) 2x + (-40 + 8x) = 2(x + -8) Reorder the terms: -40 + 2x + 8x = 2(x + -8) Combine like terms: 2x + 8x = 10x -40 + 10x = 2(x + -8) Reorder the terms: -40 + 10x = 2(-8 + x) -40 + 10x = (-8 * 2 + x * 2) -40 + 10x = (-16 + 2x) Solving -40 + 10x = -16 + 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 + 10x + -2x = -16 + 2x + -2x Combine like terms: 10x + -2x = 8x -40 + 8x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 8x = -16 + 0 -40 + 8x = -16 Add '40' to each side of the equation. -40 + 40 + 8x = -16 + 40 Combine like terms: -40 + 40 = 0 0 + 8x = -16 + 40 8x = -16 + 40 Combine like terms: -16 + 40 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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