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Simplifying 5x + 19 = -2x + -9 Reorder the terms: 19 + 5x = -2x + -9 Reorder the terms: 19 + 5x = -9 + -2x Solving 19 + 5x = -9 + -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. 19 + 5x + 2x = -9 + -2x + 2x Combine like terms: 5x + 2x = 7x 19 + 7x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 19 + 7x = -9 + 0 19 + 7x = -9 Add '-19' to each side of the equation. 19 + -19 + 7x = -9 + -19 Combine like terms: 19 + -19 = 0 0 + 7x = -9 + -19 7x = -9 + -19 Combine like terms: -9 + -19 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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