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Simplifying -4(x + 1) + -2x + 5 = 31 Reorder the terms: -4(1 + x) + -2x + 5 = 31 (1 * -4 + x * -4) + -2x + 5 = 31 (-4 + -4x) + -2x + 5 = 31 Reorder the terms: -4 + 5 + -4x + -2x = 31 Combine like terms: -4 + 5 = 1 1 + -4x + -2x = 31 Combine like terms: -4x + -2x = -6x 1 + -6x = 31 Solving 1 + -6x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6x = 31 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 31 + -1 -6x = 31 + -1 Combine like terms: 31 + -1 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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