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Simplifying -2x + 5(-3x + -3) = -29 + -3x Reorder the terms: -2x + 5(-3 + -3x) = -29 + -3x -2x + (-3 * 5 + -3x * 5) = -29 + -3x -2x + (-15 + -15x) = -29 + -3x Reorder the terms: -15 + -2x + -15x = -29 + -3x Combine like terms: -2x + -15x = -17x -15 + -17x = -29 + -3x Solving -15 + -17x = -29 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -15 + -17x + 3x = -29 + -3x + 3x Combine like terms: -17x + 3x = -14x -15 + -14x = -29 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + -14x = -29 + 0 -15 + -14x = -29 Add '15' to each side of the equation. -15 + 15 + -14x = -29 + 15 Combine like terms: -15 + 15 = 0 0 + -14x = -29 + 15 -14x = -29 + 15 Combine like terms: -29 + 15 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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