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Simplifying 7(3x + -21) = 71x + -31 Reorder the terms: 7(-21 + 3x) = 71x + -31 (-21 * 7 + 3x * 7) = 71x + -31 (-147 + 21x) = 71x + -31 Reorder the terms: -147 + 21x = -31 + 71x Solving -147 + 21x = -31 + 71x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-71x' to each side of the equation. -147 + 21x + -71x = -31 + 71x + -71x Combine like terms: 21x + -71x = -50x -147 + -50x = -31 + 71x + -71x Combine like terms: 71x + -71x = 0 -147 + -50x = -31 + 0 -147 + -50x = -31 Add '147' to each side of the equation. -147 + 147 + -50x = -31 + 147 Combine like terms: -147 + 147 = 0 0 + -50x = -31 + 147 -50x = -31 + 147 Combine like terms: -31 + 147 = 116 -50x = 116 Divide each side by '-50'. x = -2.32 Simplifying x = -2.32
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