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Simplifying 3(6x + -5) + -7(3x + 10) = 0 Reorder the terms: 3(-5 + 6x) + -7(3x + 10) = 0 (-5 * 3 + 6x * 3) + -7(3x + 10) = 0 (-15 + 18x) + -7(3x + 10) = 0 Reorder the terms: -15 + 18x + -7(10 + 3x) = 0 -15 + 18x + (10 * -7 + 3x * -7) = 0 -15 + 18x + (-70 + -21x) = 0 Reorder the terms: -15 + -70 + 18x + -21x = 0 Combine like terms: -15 + -70 = -85 -85 + 18x + -21x = 0 Combine like terms: 18x + -21x = -3x -85 + -3x = 0 Solving -85 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + -3x = 0 + 85 Combine like terms: -85 + 85 = 0 0 + -3x = 0 + 85 -3x = 0 + 85 Combine like terms: 0 + 85 = 85 -3x = 85 Divide each side by '-3'. x = -28.33333333 Simplifying x = -28.33333333
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