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Simplifying 7x + -10 = -3(x + 6) + -2 Reorder the terms: -10 + 7x = -3(x + 6) + -2 Reorder the terms: -10 + 7x = -3(6 + x) + -2 -10 + 7x = (6 * -3 + x * -3) + -2 -10 + 7x = (-18 + -3x) + -2 Reorder the terms: -10 + 7x = -18 + -2 + -3x Combine like terms: -18 + -2 = -20 -10 + 7x = -20 + -3x Solving -10 + 7x = -20 + -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. -10 + 7x + 3x = -20 + -3x + 3x Combine like terms: 7x + 3x = 10x -10 + 10x = -20 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 10x = -20 + 0 -10 + 10x = -20 Add '10' to each side of the equation. -10 + 10 + 10x = -20 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = -20 + 10 10x = -20 + 10 Combine like terms: -20 + 10 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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