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Simplifying 3 + -4(x + 2) = -5 + 4(x + -5) Reorder the terms: 3 + -4(2 + x) = -5 + 4(x + -5) 3 + (2 * -4 + x * -4) = -5 + 4(x + -5) 3 + (-8 + -4x) = -5 + 4(x + -5) Combine like terms: 3 + -8 = -5 -5 + -4x = -5 + 4(x + -5) Reorder the terms: -5 + -4x = -5 + 4(-5 + x) -5 + -4x = -5 + (-5 * 4 + x * 4) -5 + -4x = -5 + (-20 + 4x) Combine like terms: -5 + -20 = -25 -5 + -4x = -25 + 4x Solving -5 + -4x = -25 + 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. -5 + -4x + -4x = -25 + 4x + -4x Combine like terms: -4x + -4x = -8x -5 + -8x = -25 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -8x = -25 + 0 -5 + -8x = -25 Add '5' to each side of the equation. -5 + 5 + -8x = -25 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = -25 + 5 -8x = -25 + 5 Combine like terms: -25 + 5 = -20 -8x = -20 Divide each side by '-8'. x = 2.5 Simplifying x = 2.5
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