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Simplifying 5(3x + -2) + -9(2 + 4x) + -7 = 0 Reorder the terms: 5(-2 + 3x) + -9(2 + 4x) + -7 = 0 (-2 * 5 + 3x * 5) + -9(2 + 4x) + -7 = 0 (-10 + 15x) + -9(2 + 4x) + -7 = 0 -10 + 15x + (2 * -9 + 4x * -9) + -7 = 0 -10 + 15x + (-18 + -36x) + -7 = 0 Reorder the terms: -10 + -18 + -7 + 15x + -36x = 0 Combine like terms: -10 + -18 = -28 -28 + -7 + 15x + -36x = 0 Combine like terms: -28 + -7 = -35 -35 + 15x + -36x = 0 Combine like terms: 15x + -36x = -21x -35 + -21x = 0 Solving -35 + -21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -21x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -21x = 0 + 35 -21x = 0 + 35 Combine like terms: 0 + 35 = 35 -21x = 35 Divide each side by '-21'. x = -1.666666667 Simplifying x = -1.666666667
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