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Simplifying 8(x + -5) = 4(x + 2) Reorder the terms: 8(-5 + x) = 4(x + 2) (-5 * 8 + x * 8) = 4(x + 2) (-40 + 8x) = 4(x + 2) Reorder the terms: -40 + 8x = 4(2 + x) -40 + 8x = (2 * 4 + x * 4) -40 + 8x = (8 + 4x) Solving -40 + 8x = 8 + 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 = 8 + 4x + -4x Combine like terms: 8x + -4x = 4x -40 + 4x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 4x = 8 + 0 -40 + 4x = 8 Add '40' to each side of the equation. -40 + 40 + 4x = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = 8 + 40 4x = 8 + 40 Combine like terms: 8 + 40 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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