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Simplifying 4(3x + -9) + -2(2x + 1) = 0 Reorder the terms: 4(-9 + 3x) + -2(2x + 1) = 0 (-9 * 4 + 3x * 4) + -2(2x + 1) = 0 (-36 + 12x) + -2(2x + 1) = 0 Reorder the terms: -36 + 12x + -2(1 + 2x) = 0 -36 + 12x + (1 * -2 + 2x * -2) = 0 -36 + 12x + (-2 + -4x) = 0 Reorder the terms: -36 + -2 + 12x + -4x = 0 Combine like terms: -36 + -2 = -38 -38 + 12x + -4x = 0 Combine like terms: 12x + -4x = 8x -38 + 8x = 0 Solving -38 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 8x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 8x = 0 + 38 8x = 0 + 38 Combine like terms: 0 + 38 = 38 8x = 38 Divide each side by '8'. x = 4.75 Simplifying x = 4.75
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