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Simplifying 3(x + -6) + -7(x + 1) = 0 Reorder the terms: 3(-6 + x) + -7(x + 1) = 0 (-6 * 3 + x * 3) + -7(x + 1) = 0 (-18 + 3x) + -7(x + 1) = 0 Reorder the terms: -18 + 3x + -7(1 + x) = 0 -18 + 3x + (1 * -7 + x * -7) = 0 -18 + 3x + (-7 + -7x) = 0 Reorder the terms: -18 + -7 + 3x + -7x = 0 Combine like terms: -18 + -7 = -25 -25 + 3x + -7x = 0 Combine like terms: 3x + -7x = -4x -25 + -4x = 0 Solving -25 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -4x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -4x = 0 + 25 -4x = 0 + 25 Combine like terms: 0 + 25 = 25 -4x = 25 Divide each side by '-4'. x = -6.25 Simplifying x = -6.25
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