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Simplifying 3 + 5(x + -1) = -2x + -4(-1x + 5) Reorder the terms: 3 + 5(-1 + x) = -2x + -4(-1x + 5) 3 + (-1 * 5 + x * 5) = -2x + -4(-1x + 5) 3 + (-5 + 5x) = -2x + -4(-1x + 5) Combine like terms: 3 + -5 = -2 -2 + 5x = -2x + -4(-1x + 5) Reorder the terms: -2 + 5x = -2x + -4(5 + -1x) -2 + 5x = -2x + (5 * -4 + -1x * -4) -2 + 5x = -2x + (-20 + 4x) Reorder the terms: -2 + 5x = -20 + -2x + 4x Combine like terms: -2x + 4x = 2x -2 + 5x = -20 + 2x Solving -2 + 5x = -20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 5x + -2x = -20 + 2x + -2x Combine like terms: 5x + -2x = 3x -2 + 3x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 3x = -20 + 0 -2 + 3x = -20 Add '2' to each side of the equation. -2 + 2 + 3x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = -20 + 2 3x = -20 + 2 Combine like terms: -20 + 2 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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