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Simplifying 10 + 2x + 9 = 7x + 15 + -9x Reorder the terms: 10 + 9 + 2x = 7x + 15 + -9x Combine like terms: 10 + 9 = 19 19 + 2x = 7x + 15 + -9x Reorder the terms: 19 + 2x = 15 + 7x + -9x Combine like terms: 7x + -9x = -2x 19 + 2x = 15 + -2x Solving 19 + 2x = 15 + -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 + 2x + 2x = 15 + -2x + 2x Combine like terms: 2x + 2x = 4x 19 + 4x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 19 + 4x = 15 + 0 19 + 4x = 15 Add '-19' to each side of the equation. 19 + -19 + 4x = 15 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 15 + -19 4x = 15 + -19 Combine like terms: 15 + -19 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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