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Simplifying 3 + -5(x + 1) = 2 + (x + 4) Reorder the terms: 3 + -5(1 + x) = 2 + (x + 4) 3 + (1 * -5 + x * -5) = 2 + (x + 4) 3 + (-5 + -5x) = 2 + (x + 4) Combine like terms: 3 + -5 = -2 -2 + -5x = 2 + (x + 4) Reorder the terms: -2 + -5x = 2 + (4 + x) Remove parenthesis around (4 + x) -2 + -5x = 2 + 4 + x Combine like terms: 2 + 4 = 6 -2 + -5x = 6 + x Solving -2 + -5x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + -5x + -1x = 6 + x + -1x Combine like terms: -5x + -1x = -6x -2 + -6x = 6 + x + -1x Combine like terms: x + -1x = 0 -2 + -6x = 6 + 0 -2 + -6x = 6 Add '2' to each side of the equation. -2 + 2 + -6x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 6 + 2 -6x = 6 + 2 Combine like terms: 6 + 2 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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