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Simplifying 10 + -8(5 + x) = 20 + 4(x + -5) 10 + (5 * -8 + x * -8) = 20 + 4(x + -5) 10 + (-40 + -8x) = 20 + 4(x + -5) Combine like terms: 10 + -40 = -30 -30 + -8x = 20 + 4(x + -5) Reorder the terms: -30 + -8x = 20 + 4(-5 + x) -30 + -8x = 20 + (-5 * 4 + x * 4) -30 + -8x = 20 + (-20 + 4x) Combine like terms: 20 + -20 = 0 -30 + -8x = 0 + 4x -30 + -8x = 4x Solving -30 + -8x = 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. -30 + -8x + -4x = 4x + -4x Combine like terms: -8x + -4x = -12x -30 + -12x = 4x + -4x Combine like terms: 4x + -4x = 0 -30 + -12x = 0 Add '30' to each side of the equation. -30 + 30 + -12x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -12x = 0 + 30 -12x = 0 + 30 Combine like terms: 0 + 30 = 30 -12x = 30 Divide each side by '-12'. x = -2.5 Simplifying x = -2.5
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