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Simplifying 5x + 7(4x + -21) = 51 Reorder the terms: 5x + 7(-21 + 4x) = 51 5x + (-21 * 7 + 4x * 7) = 51 5x + (-147 + 28x) = 51 Reorder the terms: -147 + 5x + 28x = 51 Combine like terms: 5x + 28x = 33x -147 + 33x = 51 Solving -147 + 33x = 51 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 + 33x = 51 + 147 Combine like terms: -147 + 147 = 0 0 + 33x = 51 + 147 33x = 51 + 147 Combine like terms: 51 + 147 = 198 33x = 198 Divide each side by '33'. x = 6 Simplifying x = 6
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