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Simplifying 3(9x + 8) + -7(4x + -6) + 5x + -2 = 0 Reorder the terms: 3(8 + 9x) + -7(4x + -6) + 5x + -2 = 0 (8 * 3 + 9x * 3) + -7(4x + -6) + 5x + -2 = 0 (24 + 27x) + -7(4x + -6) + 5x + -2 = 0 Reorder the terms: 24 + 27x + -7(-6 + 4x) + 5x + -2 = 0 24 + 27x + (-6 * -7 + 4x * -7) + 5x + -2 = 0 24 + 27x + (42 + -28x) + 5x + -2 = 0 Reorder the terms: 24 + 42 + -2 + 27x + -28x + 5x = 0 Combine like terms: 24 + 42 = 66 66 + -2 + 27x + -28x + 5x = 0 Combine like terms: 66 + -2 = 64 64 + 27x + -28x + 5x = 0 Combine like terms: 27x + -28x = -1x 64 + -1x + 5x = 0 Combine like terms: -1x + 5x = 4x 64 + 4x = 0 Solving 64 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 4x = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 4x = 0 + -64 4x = 0 + -64 Combine like terms: 0 + -64 = -64 4x = -64 Divide each side by '4'. x = -16 Simplifying x = -16
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