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Simplifying 4x + 8(x + -5) = 4(x + -8) Reorder the terms: 4x + 8(-5 + x) = 4(x + -8) 4x + (-5 * 8 + x * 8) = 4(x + -8) 4x + (-40 + 8x) = 4(x + -8) Reorder the terms: -40 + 4x + 8x = 4(x + -8) Combine like terms: 4x + 8x = 12x -40 + 12x = 4(x + -8) Reorder the terms: -40 + 12x = 4(-8 + x) -40 + 12x = (-8 * 4 + x * 4) -40 + 12x = (-32 + 4x) Solving -40 + 12x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -40 + 12x + -4x = -32 + 4x + -4x Combine like terms: 12x + -4x = 8x -40 + 8x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 8x = -32 + 0 -40 + 8x = -32 Add '40' to each side of the equation. -40 + 40 + 8x = -32 + 40 Combine like terms: -40 + 40 = 0 0 + 8x = -32 + 40 8x = -32 + 40 Combine like terms: -32 + 40 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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