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Simplifying -7x + 6(-3x + -6) = -55 + -6x Reorder the terms: -7x + 6(-6 + -3x) = -55 + -6x -7x + (-6 * 6 + -3x * 6) = -55 + -6x -7x + (-36 + -18x) = -55 + -6x Reorder the terms: -36 + -7x + -18x = -55 + -6x Combine like terms: -7x + -18x = -25x -36 + -25x = -55 + -6x Solving -36 + -25x = -55 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -36 + -25x + 6x = -55 + -6x + 6x Combine like terms: -25x + 6x = -19x -36 + -19x = -55 + -6x + 6x Combine like terms: -6x + 6x = 0 -36 + -19x = -55 + 0 -36 + -19x = -55 Add '36' to each side of the equation. -36 + 36 + -19x = -55 + 36 Combine like terms: -36 + 36 = 0 0 + -19x = -55 + 36 -19x = -55 + 36 Combine like terms: -55 + 36 = -19 -19x = -19 Divide each side by '-19'. x = 1 Simplifying x = 1
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