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Simplifying -6(x + 1) + -13 = 31 + 4 Reorder the terms: -6(1 + x) + -13 = 31 + 4 (1 * -6 + x * -6) + -13 = 31 + 4 (-6 + -6x) + -13 = 31 + 4 Reorder the terms: -6 + -13 + -6x = 31 + 4 Combine like terms: -6 + -13 = -19 -19 + -6x = 31 + 4 Combine like terms: 31 + 4 = 35 -19 + -6x = 35 Solving -19 + -6x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -6x = 35 + 19 Combine like terms: -19 + 19 = 0 0 + -6x = 35 + 19 -6x = 35 + 19 Combine like terms: 35 + 19 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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