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Simplifying -3(3x + 6) + -2(1 + -8x) = 3(1 + 2x) Reorder the terms: -3(6 + 3x) + -2(1 + -8x) = 3(1 + 2x) (6 * -3 + 3x * -3) + -2(1 + -8x) = 3(1 + 2x) (-18 + -9x) + -2(1 + -8x) = 3(1 + 2x) -18 + -9x + (1 * -2 + -8x * -2) = 3(1 + 2x) -18 + -9x + (-2 + 16x) = 3(1 + 2x) Reorder the terms: -18 + -2 + -9x + 16x = 3(1 + 2x) Combine like terms: -18 + -2 = -20 -20 + -9x + 16x = 3(1 + 2x) Combine like terms: -9x + 16x = 7x -20 + 7x = 3(1 + 2x) -20 + 7x = (1 * 3 + 2x * 3) -20 + 7x = (3 + 6x) Solving -20 + 7x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 7x + -6x = 3 + 6x + -6x Combine like terms: 7x + -6x = 1x -20 + 1x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 1x = 3 + 0 -20 + 1x = 3 Add '20' to each side of the equation. -20 + 20 + 1x = 3 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 3 + 20 1x = 3 + 20 Combine like terms: 3 + 20 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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