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Simplifying 49(x + 3) = -21(x + -7) Reorder the terms: 49(3 + x) = -21(x + -7) (3 * 49 + x * 49) = -21(x + -7) (147 + 49x) = -21(x + -7) Reorder the terms: 147 + 49x = -21(-7 + x) 147 + 49x = (-7 * -21 + x * -21) 147 + 49x = (147 + -21x) Add '-147' to each side of the equation. 147 + -147 + 49x = 147 + -147 + -21x Combine like terms: 147 + -147 = 0 0 + 49x = 147 + -147 + -21x 49x = 147 + -147 + -21x Combine like terms: 147 + -147 = 0 49x = 0 + -21x 49x = -21x Solving 49x = -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 49x + 21x = -21x + 21x Combine like terms: 49x + 21x = 70x 70x = -21x + 21x Combine like terms: -21x + 21x = 0 70x = 0 Divide each side by '70'. x = 0.0 Simplifying x = 0.0
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