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Simplifying 31 + -6x = -4(x + -4) + 5 Reorder the terms: 31 + -6x = -4(-4 + x) + 5 31 + -6x = (-4 * -4 + x * -4) + 5 31 + -6x = (16 + -4x) + 5 Reorder the terms: 31 + -6x = 16 + 5 + -4x Combine like terms: 16 + 5 = 21 31 + -6x = 21 + -4x Solving 31 + -6x = 21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 31 + -6x + 4x = 21 + -4x + 4x Combine like terms: -6x + 4x = -2x 31 + -2x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 31 + -2x = 21 + 0 31 + -2x = 21 Add '-31' to each side of the equation. 31 + -31 + -2x = 21 + -31 Combine like terms: 31 + -31 = 0 0 + -2x = 21 + -31 -2x = 21 + -31 Combine like terms: 21 + -31 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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