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Simplifying 8 + -4(x + 5) = 4x + -2 Reorder the terms: 8 + -4(5 + x) = 4x + -2 8 + (5 * -4 + x * -4) = 4x + -2 8 + (-20 + -4x) = 4x + -2 Combine like terms: 8 + -20 = -12 -12 + -4x = 4x + -2 Reorder the terms: -12 + -4x = -2 + 4x Solving -12 + -4x = -2 + 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. -12 + -4x + -4x = -2 + 4x + -4x Combine like terms: -4x + -4x = -8x -12 + -8x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -8x = -2 + 0 -12 + -8x = -2 Add '12' to each side of the equation. -12 + 12 + -8x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = -2 + 12 -8x = -2 + 12 Combine like terms: -2 + 12 = 10 -8x = 10 Divide each side by '-8'. x = -1.25 Simplifying x = -1.25
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