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Simplifying 21(x + -19) + 20(3x + 98) = 1020 Reorder the terms: 21(-19 + x) + 20(3x + 98) = 1020 (-19 * 21 + x * 21) + 20(3x + 98) = 1020 (-399 + 21x) + 20(3x + 98) = 1020 Reorder the terms: -399 + 21x + 20(98 + 3x) = 1020 -399 + 21x + (98 * 20 + 3x * 20) = 1020 -399 + 21x + (1960 + 60x) = 1020 Reorder the terms: -399 + 1960 + 21x + 60x = 1020 Combine like terms: -399 + 1960 = 1561 1561 + 21x + 60x = 1020 Combine like terms: 21x + 60x = 81x 1561 + 81x = 1020 Solving 1561 + 81x = 1020 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1561' to each side of the equation. 1561 + -1561 + 81x = 1020 + -1561 Combine like terms: 1561 + -1561 = 0 0 + 81x = 1020 + -1561 81x = 1020 + -1561 Combine like terms: 1020 + -1561 = -541 81x = -541 Divide each side by '81'. x = -6.679012346 Simplifying x = -6.679012346
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