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Simplifying -31 + 4x = -3(x + -6) Reorder the terms: -31 + 4x = -3(-6 + x) -31 + 4x = (-6 * -3 + x * -3) -31 + 4x = (18 + -3x) Solving -31 + 4x = 18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -31 + 4x + 3x = 18 + -3x + 3x Combine like terms: 4x + 3x = 7x -31 + 7x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 -31 + 7x = 18 + 0 -31 + 7x = 18 Add '31' to each side of the equation. -31 + 31 + 7x = 18 + 31 Combine like terms: -31 + 31 = 0 0 + 7x = 18 + 31 7x = 18 + 31 Combine like terms: 18 + 31 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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