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Simplifying 9(x + 7) + 4(6 + -9x) = -28(x + -3) + -9 Reorder the terms: 9(7 + x) + 4(6 + -9x) = -28(x + -3) + -9 (7 * 9 + x * 9) + 4(6 + -9x) = -28(x + -3) + -9 (63 + 9x) + 4(6 + -9x) = -28(x + -3) + -9 63 + 9x + (6 * 4 + -9x * 4) = -28(x + -3) + -9 63 + 9x + (24 + -36x) = -28(x + -3) + -9 Reorder the terms: 63 + 24 + 9x + -36x = -28(x + -3) + -9 Combine like terms: 63 + 24 = 87 87 + 9x + -36x = -28(x + -3) + -9 Combine like terms: 9x + -36x = -27x 87 + -27x = -28(x + -3) + -9 Reorder the terms: 87 + -27x = -28(-3 + x) + -9 87 + -27x = (-3 * -28 + x * -28) + -9 87 + -27x = (84 + -28x) + -9 Reorder the terms: 87 + -27x = 84 + -9 + -28x Combine like terms: 84 + -9 = 75 87 + -27x = 75 + -28x Solving 87 + -27x = 75 + -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. 87 + -27x + 28x = 75 + -28x + 28x Combine like terms: -27x + 28x = 1x 87 + 1x = 75 + -28x + 28x Combine like terms: -28x + 28x = 0 87 + 1x = 75 + 0 87 + 1x = 75 Add '-87' to each side of the equation. 87 + -87 + 1x = 75 + -87 Combine like terms: 87 + -87 = 0 0 + 1x = 75 + -87 1x = 75 + -87 Combine like terms: 75 + -87 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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