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Simplifying -7(x + 5) + -6(6 + -6x) = 28(x + -3) + -9 Reorder the terms: -7(5 + x) + -6(6 + -6x) = 28(x + -3) + -9 (5 * -7 + x * -7) + -6(6 + -6x) = 28(x + -3) + -9 (-35 + -7x) + -6(6 + -6x) = 28(x + -3) + -9 -35 + -7x + (6 * -6 + -6x * -6) = 28(x + -3) + -9 -35 + -7x + (-36 + 36x) = 28(x + -3) + -9 Reorder the terms: -35 + -36 + -7x + 36x = 28(x + -3) + -9 Combine like terms: -35 + -36 = -71 -71 + -7x + 36x = 28(x + -3) + -9 Combine like terms: -7x + 36x = 29x -71 + 29x = 28(x + -3) + -9 Reorder the terms: -71 + 29x = 28(-3 + x) + -9 -71 + 29x = (-3 * 28 + x * 28) + -9 -71 + 29x = (-84 + 28x) + -9 Reorder the terms: -71 + 29x = -84 + -9 + 28x Combine like terms: -84 + -9 = -93 -71 + 29x = -93 + 28x Solving -71 + 29x = -93 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -71 + 29x + -28x = -93 + 28x + -28x Combine like terms: 29x + -28x = 1x -71 + 1x = -93 + 28x + -28x Combine like terms: 28x + -28x = 0 -71 + 1x = -93 + 0 -71 + 1x = -93 Add '71' to each side of the equation. -71 + 71 + 1x = -93 + 71 Combine like terms: -71 + 71 = 0 0 + 1x = -93 + 71 1x = -93 + 71 Combine like terms: -93 + 71 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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