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Simplifying 4 + -5(x + 1) = 2 + -3x Reorder the terms: 4 + -5(1 + x) = 2 + -3x 4 + (1 * -5 + x * -5) = 2 + -3x 4 + (-5 + -5x) = 2 + -3x Combine like terms: 4 + -5 = -1 -1 + -5x = 2 + -3x Solving -1 + -5x = 2 + -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. -1 + -5x + 3x = 2 + -3x + 3x Combine like terms: -5x + 3x = -2x -1 + -2x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + -2x = 2 + 0 -1 + -2x = 2 Add '1' to each side of the equation. -1 + 1 + -2x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 2 + 1 -2x = 2 + 1 Combine like terms: 2 + 1 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5
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