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Simplifying 5(4x + -2) = -21(7 + -1x) Reorder the terms: 5(-2 + 4x) = -21(7 + -1x) (-2 * 5 + 4x * 5) = -21(7 + -1x) (-10 + 20x) = -21(7 + -1x) -10 + 20x = (7 * -21 + -1x * -21) -10 + 20x = (-147 + 21x) Solving -10 + 20x = -147 + 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. -10 + 20x + -21x = -147 + 21x + -21x Combine like terms: 20x + -21x = -1x -10 + -1x = -147 + 21x + -21x Combine like terms: 21x + -21x = 0 -10 + -1x = -147 + 0 -10 + -1x = -147 Add '10' to each side of the equation. -10 + 10 + -1x = -147 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -147 + 10 -1x = -147 + 10 Combine like terms: -147 + 10 = -137 -1x = -137 Divide each side by '-1'. x = 137 Simplifying x = 137
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