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Simplifying -4x + 31 = -3(x + 6) Reorder the terms: 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 = -1x 31 + -1x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 31 + -1x = -18 + 0 31 + -1x = -18 Add '-31' to each side of the equation. 31 + -31 + -1x = -18 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = -18 + -31 -1x = -18 + -31 Combine like terms: -18 + -31 = -49 -1x = -49 Divide each side by '-1'. x = 49 Simplifying x = 49
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