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Simplifying 3x + -1(6x + -6) = 2x + 21 Reorder the terms: 3x + -1(-6 + 6x) = 2x + 21 3x + (-6 * -1 + 6x * -1) = 2x + 21 3x + (6 + -6x) = 2x + 21 Reorder the terms: 6 + 3x + -6x = 2x + 21 Combine like terms: 3x + -6x = -3x 6 + -3x = 2x + 21 Reorder the terms: 6 + -3x = 21 + 2x Solving 6 + -3x = 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. 6 + -3x + -2x = 21 + 2x + -2x Combine like terms: -3x + -2x = -5x 6 + -5x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -5x = 21 + 0 6 + -5x = 21 Add '-6' to each side of the equation. 6 + -6 + -5x = 21 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 21 + -6 -5x = 21 + -6 Combine like terms: 21 + -6 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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