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Simplifying 2(4x + 7) + -3(x + 9) = 0 Reorder the terms: 2(7 + 4x) + -3(x + 9) = 0 (7 * 2 + 4x * 2) + -3(x + 9) = 0 (14 + 8x) + -3(x + 9) = 0 Reorder the terms: 14 + 8x + -3(9 + x) = 0 14 + 8x + (9 * -3 + x * -3) = 0 14 + 8x + (-27 + -3x) = 0 Reorder the terms: 14 + -27 + 8x + -3x = 0 Combine like terms: 14 + -27 = -13 -13 + 8x + -3x = 0 Combine like terms: 8x + -3x = 5x -13 + 5x = 0 Solving -13 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 5x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 0 + 13 5x = 0 + 13 Combine like terms: 0 + 13 = 13 5x = 13 Divide each side by '5'. x = 2.6 Simplifying x = 2.6
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