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Simplifying -4x + 6(-3x + -7) = -60 + -4x Reorder the terms: -4x + 6(-7 + -3x) = -60 + -4x -4x + (-7 * 6 + -3x * 6) = -60 + -4x -4x + (-42 + -18x) = -60 + -4x Reorder the terms: -42 + -4x + -18x = -60 + -4x Combine like terms: -4x + -18x = -22x -42 + -22x = -60 + -4x Solving -42 + -22x = -60 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -42 + -22x + 4x = -60 + -4x + 4x Combine like terms: -22x + 4x = -18x -42 + -18x = -60 + -4x + 4x Combine like terms: -4x + 4x = 0 -42 + -18x = -60 + 0 -42 + -18x = -60 Add '42' to each side of the equation. -42 + 42 + -18x = -60 + 42 Combine like terms: -42 + 42 = 0 0 + -18x = -60 + 42 -18x = -60 + 42 Combine like terms: -60 + 42 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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