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Simplifying -7(x + 7) + -4(3x + 8) = -20(x + 5) + 1 Reorder the terms: -7(7 + x) + -4(3x + 8) = -20(x + 5) + 1 (7 * -7 + x * -7) + -4(3x + 8) = -20(x + 5) + 1 (-49 + -7x) + -4(3x + 8) = -20(x + 5) + 1 Reorder the terms: -49 + -7x + -4(8 + 3x) = -20(x + 5) + 1 -49 + -7x + (8 * -4 + 3x * -4) = -20(x + 5) + 1 -49 + -7x + (-32 + -12x) = -20(x + 5) + 1 Reorder the terms: -49 + -32 + -7x + -12x = -20(x + 5) + 1 Combine like terms: -49 + -32 = -81 -81 + -7x + -12x = -20(x + 5) + 1 Combine like terms: -7x + -12x = -19x -81 + -19x = -20(x + 5) + 1 Reorder the terms: -81 + -19x = -20(5 + x) + 1 -81 + -19x = (5 * -20 + x * -20) + 1 -81 + -19x = (-100 + -20x) + 1 Reorder the terms: -81 + -19x = -100 + 1 + -20x Combine like terms: -100 + 1 = -99 -81 + -19x = -99 + -20x Solving -81 + -19x = -99 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -81 + -19x + 20x = -99 + -20x + 20x Combine like terms: -19x + 20x = 1x -81 + 1x = -99 + -20x + 20x Combine like terms: -20x + 20x = 0 -81 + 1x = -99 + 0 -81 + 1x = -99 Add '81' to each side of the equation. -81 + 81 + 1x = -99 + 81 Combine like terms: -81 + 81 = 0 0 + 1x = -99 + 81 1x = -99 + 81 Combine like terms: -99 + 81 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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