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Simplifying 3(x + -6) + 11(x + 2) = x + 4 + 8x Reorder the terms: 3(-6 + x) + 11(x + 2) = x + 4 + 8x (-6 * 3 + x * 3) + 11(x + 2) = x + 4 + 8x (-18 + 3x) + 11(x + 2) = x + 4 + 8x Reorder the terms: -18 + 3x + 11(2 + x) = x + 4 + 8x -18 + 3x + (2 * 11 + x * 11) = x + 4 + 8x -18 + 3x + (22 + 11x) = x + 4 + 8x Reorder the terms: -18 + 22 + 3x + 11x = x + 4 + 8x Combine like terms: -18 + 22 = 4 4 + 3x + 11x = x + 4 + 8x Combine like terms: 3x + 11x = 14x 4 + 14x = x + 4 + 8x Reorder the terms: 4 + 14x = 4 + x + 8x Combine like terms: x + 8x = 9x 4 + 14x = 4 + 9x Add '-4' to each side of the equation. 4 + -4 + 14x = 4 + -4 + 9x Combine like terms: 4 + -4 = 0 0 + 14x = 4 + -4 + 9x 14x = 4 + -4 + 9x Combine like terms: 4 + -4 = 0 14x = 0 + 9x 14x = 9x Solving 14x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 14x + -9x = 9x + -9x Combine like terms: 14x + -9x = 5x 5x = 9x + -9x Combine like terms: 9x + -9x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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