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Simplifying -3(7x + 3) + -2(6 + -20x) = 3(5 + 6x) Reorder the terms: -3(3 + 7x) + -2(6 + -20x) = 3(5 + 6x) (3 * -3 + 7x * -3) + -2(6 + -20x) = 3(5 + 6x) (-9 + -21x) + -2(6 + -20x) = 3(5 + 6x) -9 + -21x + (6 * -2 + -20x * -2) = 3(5 + 6x) -9 + -21x + (-12 + 40x) = 3(5 + 6x) Reorder the terms: -9 + -12 + -21x + 40x = 3(5 + 6x) Combine like terms: -9 + -12 = -21 -21 + -21x + 40x = 3(5 + 6x) Combine like terms: -21x + 40x = 19x -21 + 19x = 3(5 + 6x) -21 + 19x = (5 * 3 + 6x * 3) -21 + 19x = (15 + 18x) Solving -21 + 19x = 15 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -21 + 19x + -18x = 15 + 18x + -18x Combine like terms: 19x + -18x = 1x -21 + 1x = 15 + 18x + -18x Combine like terms: 18x + -18x = 0 -21 + 1x = 15 + 0 -21 + 1x = 15 Add '21' to each side of the equation. -21 + 21 + 1x = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = 15 + 21 1x = 15 + 21 Combine like terms: 15 + 21 = 36 1x = 36 Divide each side by '1'. x = 36 Simplifying x = 36
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