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Simplifying 8(x + -5) = 4(1 + x) Reorder the terms: 8(-5 + x) = 4(1 + x) (-5 * 8 + x * 8) = 4(1 + x) (-40 + 8x) = 4(1 + x) -40 + 8x = (1 * 4 + x * 4) -40 + 8x = (4 + 4x) Solving -40 + 8x = 4 + 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 + 8x + -4x = 4 + 4x + -4x Combine like terms: 8x + -4x = 4x -40 + 4x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 4x = 4 + 0 -40 + 4x = 4 Add '40' to each side of the equation. -40 + 40 + 4x = 4 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = 4 + 40 4x = 4 + 40 Combine like terms: 4 + 40 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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