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Simplifying -3x + 2(-3x + -7) = 21 + -2x Reorder the terms: -3x + 2(-7 + -3x) = 21 + -2x -3x + (-7 * 2 + -3x * 2) = 21 + -2x -3x + (-14 + -6x) = 21 + -2x Reorder the terms: -14 + -3x + -6x = 21 + -2x Combine like terms: -3x + -6x = -9x -14 + -9x = 21 + -2x Solving -14 + -9x = 21 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -14 + -9x + 2x = 21 + -2x + 2x Combine like terms: -9x + 2x = -7x -14 + -7x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + -7x = 21 + 0 -14 + -7x = 21 Add '14' to each side of the equation. -14 + 14 + -7x = 21 + 14 Combine like terms: -14 + 14 = 0 0 + -7x = 21 + 14 -7x = 21 + 14 Combine like terms: 21 + 14 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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