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Simplifying 3(x + -4) + 2(5x + -1) = 0 Reorder the terms: 3(-4 + x) + 2(5x + -1) = 0 (-4 * 3 + x * 3) + 2(5x + -1) = 0 (-12 + 3x) + 2(5x + -1) = 0 Reorder the terms: -12 + 3x + 2(-1 + 5x) = 0 -12 + 3x + (-1 * 2 + 5x * 2) = 0 -12 + 3x + (-2 + 10x) = 0 Reorder the terms: -12 + -2 + 3x + 10x = 0 Combine like terms: -12 + -2 = -14 -14 + 3x + 10x = 0 Combine like terms: 3x + 10x = 13x -14 + 13x = 0 Solving -14 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 13x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 13x = 0 + 14 13x = 0 + 14 Combine like terms: 0 + 14 = 14 13x = 14 Divide each side by '13'. x = 1.076923077 Simplifying x = 1.076923077
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