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Simplifying 3(5x + -6) + -2(x + -7) = 0 Reorder the terms: 3(-6 + 5x) + -2(x + -7) = 0 (-6 * 3 + 5x * 3) + -2(x + -7) = 0 (-18 + 15x) + -2(x + -7) = 0 Reorder the terms: -18 + 15x + -2(-7 + x) = 0 -18 + 15x + (-7 * -2 + x * -2) = 0 -18 + 15x + (14 + -2x) = 0 Reorder the terms: -18 + 14 + 15x + -2x = 0 Combine like terms: -18 + 14 = -4 -4 + 15x + -2x = 0 Combine like terms: 15x + -2x = 13x -4 + 13x = 0 Solving -4 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 13x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 13x = 0 + 4 13x = 0 + 4 Combine like terms: 0 + 4 = 4 13x = 4 Divide each side by '13'. x = 0.3076923077 Simplifying x = 0.3076923077
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