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Simplifying 7x + -5 = -5(x + 2) + -19 Reorder the terms: -5 + 7x = -5(x + 2) + -19 Reorder the terms: -5 + 7x = -5(2 + x) + -19 -5 + 7x = (2 * -5 + x * -5) + -19 -5 + 7x = (-10 + -5x) + -19 Reorder the terms: -5 + 7x = -10 + -19 + -5x Combine like terms: -10 + -19 = -29 -5 + 7x = -29 + -5x Solving -5 + 7x = -29 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -5 + 7x + 5x = -29 + -5x + 5x Combine like terms: 7x + 5x = 12x -5 + 12x = -29 + -5x + 5x Combine like terms: -5x + 5x = 0 -5 + 12x = -29 + 0 -5 + 12x = -29 Add '5' to each side of the equation. -5 + 5 + 12x = -29 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = -29 + 5 12x = -29 + 5 Combine like terms: -29 + 5 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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