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Simplifying -2(5x + -6) = 21 + -7x Reorder the terms: -2(-6 + 5x) = 21 + -7x (-6 * -2 + 5x * -2) = 21 + -7x (12 + -10x) = 21 + -7x Solving 12 + -10x = 21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + -10x + 7x = 21 + -7x + 7x Combine like terms: -10x + 7x = -3x 12 + -3x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + -3x = 21 + 0 12 + -3x = 21 Add '-12' to each side of the equation. 12 + -12 + -3x = 21 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 21 + -12 -3x = 21 + -12 Combine like terms: 21 + -12 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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