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Simplifying 3(x + -6) + -1(4x + -7) = 0 Reorder the terms: 3(-6 + x) + -1(4x + -7) = 0 (-6 * 3 + x * 3) + -1(4x + -7) = 0 (-18 + 3x) + -1(4x + -7) = 0 Reorder the terms: -18 + 3x + -1(-7 + 4x) = 0 -18 + 3x + (-7 * -1 + 4x * -1) = 0 -18 + 3x + (7 + -4x) = 0 Reorder the terms: -18 + 7 + 3x + -4x = 0 Combine like terms: -18 + 7 = -11 -11 + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x -11 + -1x = 0 Solving -11 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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