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Simplifying [6x + -12] = [-3x + -21] Reorder the terms: [-12 + 6x] = [-3x + -21] Remove brackets around [-12 + 6x] -12 + 6x = [-3x + -21] Reorder the terms: -12 + 6x = [-21 + -3x] Remove brackets around [-21 + -3x] -12 + 6x = -21 + -3x Solving -12 + 6x = -21 + -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. -12 + 6x + 3x = -21 + -3x + 3x Combine like terms: 6x + 3x = 9x -12 + 9x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 9x = -21 + 0 -12 + 9x = -21 Add '12' to each side of the equation. -12 + 12 + 9x = -21 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -21 + 12 9x = -21 + 12 Combine like terms: -21 + 12 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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