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Simplifying 5x + -2 + 2x = -3(x + 6) + -4 Reorder the terms: -2 + 5x + 2x = -3(x + 6) + -4 Combine like terms: 5x + 2x = 7x -2 + 7x = -3(x + 6) + -4 Reorder the terms: -2 + 7x = -3(6 + x) + -4 -2 + 7x = (6 * -3 + x * -3) + -4 -2 + 7x = (-18 + -3x) + -4 Reorder the terms: -2 + 7x = -18 + -4 + -3x Combine like terms: -18 + -4 = -22 -2 + 7x = -22 + -3x Solving -2 + 7x = -22 + -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. -2 + 7x + 3x = -22 + -3x + 3x Combine like terms: 7x + 3x = 10x -2 + 10x = -22 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 10x = -22 + 0 -2 + 10x = -22 Add '2' to each side of the equation. -2 + 2 + 10x = -22 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = -22 + 2 10x = -22 + 2 Combine like terms: -22 + 2 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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