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Simplifying 3(5x + -6) + -7(7x + 9) = 3 Reorder the terms: 3(-6 + 5x) + -7(7x + 9) = 3 (-6 * 3 + 5x * 3) + -7(7x + 9) = 3 (-18 + 15x) + -7(7x + 9) = 3 Reorder the terms: -18 + 15x + -7(9 + 7x) = 3 -18 + 15x + (9 * -7 + 7x * -7) = 3 -18 + 15x + (-63 + -49x) = 3 Reorder the terms: -18 + -63 + 15x + -49x = 3 Combine like terms: -18 + -63 = -81 -81 + 15x + -49x = 3 Combine like terms: 15x + -49x = -34x -81 + -34x = 3 Solving -81 + -34x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + -34x = 3 + 81 Combine like terms: -81 + 81 = 0 0 + -34x = 3 + 81 -34x = 3 + 81 Combine like terms: 3 + 81 = 84 -34x = 84 Divide each side by '-34'. x = -2.470588235 Simplifying x = -2.470588235
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