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Simplifying 3(3x + -7) + 2(4x + 7) = 0 Reorder the terms: 3(-7 + 3x) + 2(4x + 7) = 0 (-7 * 3 + 3x * 3) + 2(4x + 7) = 0 (-21 + 9x) + 2(4x + 7) = 0 Reorder the terms: -21 + 9x + 2(7 + 4x) = 0 -21 + 9x + (7 * 2 + 4x * 2) = 0 -21 + 9x + (14 + 8x) = 0 Reorder the terms: -21 + 14 + 9x + 8x = 0 Combine like terms: -21 + 14 = -7 -7 + 9x + 8x = 0 Combine like terms: 9x + 8x = 17x -7 + 17x = 0 Solving -7 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 17x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 17x = 0 + 7 17x = 0 + 7 Combine like terms: 0 + 7 = 7 17x = 7 Divide each side by '17'. x = 0.4117647059 Simplifying x = 0.4117647059
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