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Simplifying 2(5x + -7) + 2x = -89 + -3x Reorder the terms: 2(-7 + 5x) + 2x = -89 + -3x (-7 * 2 + 5x * 2) + 2x = -89 + -3x (-14 + 10x) + 2x = -89 + -3x Combine like terms: 10x + 2x = 12x -14 + 12x = -89 + -3x Solving -14 + 12x = -89 + -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. -14 + 12x + 3x = -89 + -3x + 3x Combine like terms: 12x + 3x = 15x -14 + 15x = -89 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 15x = -89 + 0 -14 + 15x = -89 Add '14' to each side of the equation. -14 + 14 + 15x = -89 + 14 Combine like terms: -14 + 14 = 0 0 + 15x = -89 + 14 15x = -89 + 14 Combine like terms: -89 + 14 = -75 15x = -75 Divide each side by '15'. x = -5 Simplifying x = -5
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