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Simplifying 5(x + -1) = 2x + 4(x + -11) Reorder the terms: 5(-1 + x) = 2x + 4(x + -11) (-1 * 5 + x * 5) = 2x + 4(x + -11) (-5 + 5x) = 2x + 4(x + -11) Reorder the terms: -5 + 5x = 2x + 4(-11 + x) -5 + 5x = 2x + (-11 * 4 + x * 4) -5 + 5x = 2x + (-44 + 4x) Reorder the terms: -5 + 5x = -44 + 2x + 4x Combine like terms: 2x + 4x = 6x -5 + 5x = -44 + 6x Solving -5 + 5x = -44 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 5x + -6x = -44 + 6x + -6x Combine like terms: 5x + -6x = -1x -5 + -1x = -44 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -1x = -44 + 0 -5 + -1x = -44 Add '5' to each side of the equation. -5 + 5 + -1x = -44 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -44 + 5 -1x = -44 + 5 Combine like terms: -44 + 5 = -39 -1x = -39 Divide each side by '-1'. x = 39 Simplifying x = 39
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