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Simplifying 3(4x + -5) + -7(9x + -2) = 0 Reorder the terms: 3(-5 + 4x) + -7(9x + -2) = 0 (-5 * 3 + 4x * 3) + -7(9x + -2) = 0 (-15 + 12x) + -7(9x + -2) = 0 Reorder the terms: -15 + 12x + -7(-2 + 9x) = 0 -15 + 12x + (-2 * -7 + 9x * -7) = 0 -15 + 12x + (14 + -63x) = 0 Reorder the terms: -15 + 14 + 12x + -63x = 0 Combine like terms: -15 + 14 = -1 -1 + 12x + -63x = 0 Combine like terms: 12x + -63x = -51x -1 + -51x = 0 Solving -1 + -51x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -51x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -51x = 0 + 1 -51x = 0 + 1 Combine like terms: 0 + 1 = 1 -51x = 1 Divide each side by '-51'. x = -0.01960784314 Simplifying x = -0.01960784314
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