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Simplifying 3(3x + -7) + 2(4x + 5) = 0 Reorder the terms: 3(-7 + 3x) + 2(4x + 5) = 0 (-7 * 3 + 3x * 3) + 2(4x + 5) = 0 (-21 + 9x) + 2(4x + 5) = 0 Reorder the terms: -21 + 9x + 2(5 + 4x) = 0 -21 + 9x + (5 * 2 + 4x * 2) = 0 -21 + 9x + (10 + 8x) = 0 Reorder the terms: -21 + 10 + 9x + 8x = 0 Combine like terms: -21 + 10 = -11 -11 + 9x + 8x = 0 Combine like terms: 9x + 8x = 17x -11 + 17x = 0 Solving -11 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 17x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 17x = 0 + 11 17x = 0 + 11 Combine like terms: 0 + 11 = 11 17x = 11 Divide each side by '17'. x = 0.6470588235 Simplifying x = 0.6470588235
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