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Simplifying -4(-1x + 4) + 31 = 5x + 3(5 + -4x) Reorder the terms: -4(4 + -1x) + 31 = 5x + 3(5 + -4x) (4 * -4 + -1x * -4) + 31 = 5x + 3(5 + -4x) (-16 + 4x) + 31 = 5x + 3(5 + -4x) Reorder the terms: -16 + 31 + 4x = 5x + 3(5 + -4x) Combine like terms: -16 + 31 = 15 15 + 4x = 5x + 3(5 + -4x) 15 + 4x = 5x + (5 * 3 + -4x * 3) 15 + 4x = 5x + (15 + -12x) Reorder the terms: 15 + 4x = 15 + 5x + -12x Combine like terms: 5x + -12x = -7x 15 + 4x = 15 + -7x Add '-15' to each side of the equation. 15 + -15 + 4x = 15 + -15 + -7x Combine like terms: 15 + -15 = 0 0 + 4x = 15 + -15 + -7x 4x = 15 + -15 + -7x Combine like terms: 15 + -15 = 0 4x = 0 + -7x 4x = -7x Solving 4x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4x + 7x = -7x + 7x Combine like terms: 4x + 7x = 11x 11x = -7x + 7x Combine like terms: -7x + 7x = 0 11x = 0 Divide each side by '11'. x = 0 Simplifying x = 0
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