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Simplifying -5(x + 1) + -1x + -6 = 6(x + 4) + 13 Reorder the terms: -5(1 + x) + -1x + -6 = 6(x + 4) + 13 (1 * -5 + x * -5) + -1x + -6 = 6(x + 4) + 13 (-5 + -5x) + -1x + -6 = 6(x + 4) + 13 Reorder the terms: -5 + -6 + -5x + -1x = 6(x + 4) + 13 Combine like terms: -5 + -6 = -11 -11 + -5x + -1x = 6(x + 4) + 13 Combine like terms: -5x + -1x = -6x -11 + -6x = 6(x + 4) + 13 Reorder the terms: -11 + -6x = 6(4 + x) + 13 -11 + -6x = (4 * 6 + x * 6) + 13 -11 + -6x = (24 + 6x) + 13 Reorder the terms: -11 + -6x = 24 + 13 + 6x Combine like terms: 24 + 13 = 37 -11 + -6x = 37 + 6x Solving -11 + -6x = 37 + 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. -11 + -6x + -6x = 37 + 6x + -6x Combine like terms: -6x + -6x = -12x -11 + -12x = 37 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + -12x = 37 + 0 -11 + -12x = 37 Add '11' to each side of the equation. -11 + 11 + -12x = 37 + 11 Combine like terms: -11 + 11 = 0 0 + -12x = 37 + 11 -12x = 37 + 11 Combine like terms: 37 + 11 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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