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Simplifying 3(x + -4) + -2(5x + -4) + -7x = 0 Reorder the terms: 3(-4 + x) + -2(5x + -4) + -7x = 0 (-4 * 3 + x * 3) + -2(5x + -4) + -7x = 0 (-12 + 3x) + -2(5x + -4) + -7x = 0 Reorder the terms: -12 + 3x + -2(-4 + 5x) + -7x = 0 -12 + 3x + (-4 * -2 + 5x * -2) + -7x = 0 -12 + 3x + (8 + -10x) + -7x = 0 Reorder the terms: -12 + 8 + 3x + -10x + -7x = 0 Combine like terms: -12 + 8 = -4 -4 + 3x + -10x + -7x = 0 Combine like terms: 3x + -10x = -7x -4 + -7x + -7x = 0 Combine like terms: -7x + -7x = -14x -4 + -14x = 0 Solving -4 + -14x = 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 + -14x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -14x = 0 + 4 -14x = 0 + 4 Combine like terms: 0 + 4 = 4 -14x = 4 Divide each side by '-14'. x = -0.2857142857 Simplifying x = -0.2857142857
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