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Simplifying -5(x + 1) = 3x + -4 Reorder the terms: -5(1 + x) = 3x + -4 (1 * -5 + x * -5) = 3x + -4 (-5 + -5x) = 3x + -4 Reorder the terms: -5 + -5x = -4 + 3x Solving -5 + -5x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + -5x + -3x = -4 + 3x + -3x Combine like terms: -5x + -3x = -8x -5 + -8x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -8x = -4 + 0 -5 + -8x = -4 Add '5' to each side of the equation. -5 + 5 + -8x = -4 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = -4 + 5 -8x = -4 + 5 Combine like terms: -4 + 5 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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