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Simplifying -6x + 7(-2x + -2) = -29 + -5x Reorder the terms: -6x + 7(-2 + -2x) = -29 + -5x -6x + (-2 * 7 + -2x * 7) = -29 + -5x -6x + (-14 + -14x) = -29 + -5x Reorder the terms: -14 + -6x + -14x = -29 + -5x Combine like terms: -6x + -14x = -20x -14 + -20x = -29 + -5x Solving -14 + -20x = -29 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -14 + -20x + 5x = -29 + -5x + 5x Combine like terms: -20x + 5x = -15x -14 + -15x = -29 + -5x + 5x Combine like terms: -5x + 5x = 0 -14 + -15x = -29 + 0 -14 + -15x = -29 Add '14' to each side of the equation. -14 + 14 + -15x = -29 + 14 Combine like terms: -14 + 14 = 0 0 + -15x = -29 + 14 -15x = -29 + 14 Combine like terms: -29 + 14 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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