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Simplifying 6(3 + -2x) + -5(5 + -3x) = 0 (3 * 6 + -2x * 6) + -5(5 + -3x) = 0 (18 + -12x) + -5(5 + -3x) = 0 18 + -12x + (5 * -5 + -3x * -5) = 0 18 + -12x + (-25 + 15x) = 0 Reorder the terms: 18 + -25 + -12x + 15x = 0 Combine like terms: 18 + -25 = -7 -7 + -12x + 15x = 0 Combine like terms: -12x + 15x = 3x -7 + 3x = 0 Solving -7 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 0 + 7 3x = 0 + 7 Combine like terms: 0 + 7 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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