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Simplifying 3(2x + -5) + 6(3x + -1) = 0 Reorder the terms: 3(-5 + 2x) + 6(3x + -1) = 0 (-5 * 3 + 2x * 3) + 6(3x + -1) = 0 (-15 + 6x) + 6(3x + -1) = 0 Reorder the terms: -15 + 6x + 6(-1 + 3x) = 0 -15 + 6x + (-1 * 6 + 3x * 6) = 0 -15 + 6x + (-6 + 18x) = 0 Reorder the terms: -15 + -6 + 6x + 18x = 0 Combine like terms: -15 + -6 = -21 -21 + 6x + 18x = 0 Combine like terms: 6x + 18x = 24x -21 + 24x = 0 Solving -21 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 24x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 24x = 0 + 21 24x = 0 + 21 Combine like terms: 0 + 21 = 21 24x = 21 Divide each side by '24'. x = 0.875 Simplifying x = 0.875
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