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Simplifying 4x + -7(21 + -4x) = 31 4x + (21 * -7 + -4x * -7) = 31 4x + (-147 + 28x) = 31 Reorder the terms: -147 + 4x + 28x = 31 Combine like terms: 4x + 28x = 32x -147 + 32x = 31 Solving -147 + 32x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '147' to each side of the equation. -147 + 147 + 32x = 31 + 147 Combine like terms: -147 + 147 = 0 0 + 32x = 31 + 147 32x = 31 + 147 Combine like terms: 31 + 147 = 178 32x = 178 Divide each side by '32'. x = 5.5625 Simplifying x = 5.5625
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