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Simplifying 10 + 2x + 9 = 5x + 7 + -7x Reorder the terms: 10 + 9 + 2x = 5x + 7 + -7x Combine like terms: 10 + 9 = 19 19 + 2x = 5x + 7 + -7x Reorder the terms: 19 + 2x = 7 + 5x + -7x Combine like terms: 5x + -7x = -2x 19 + 2x = 7 + -2x Solving 19 + 2x = 7 + -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 = 7 + -2x + 2x Combine like terms: 2x + 2x = 4x 19 + 4x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 19 + 4x = 7 + 0 19 + 4x = 7 Add '-19' to each side of the equation. 19 + -19 + 4x = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 7 + -19 4x = 7 + -19 Combine like terms: 7 + -19 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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