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Simplifying 7x + 19 = -2x + 45 Reorder the terms: 19 + 7x = -2x + 45 Reorder the terms: 19 + 7x = 45 + -2x Solving 19 + 7x = 45 + -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 + 7x + 2x = 45 + -2x + 2x Combine like terms: 7x + 2x = 9x 19 + 9x = 45 + -2x + 2x Combine like terms: -2x + 2x = 0 19 + 9x = 45 + 0 19 + 9x = 45 Add '-19' to each side of the equation. 19 + -19 + 9x = 45 + -19 Combine like terms: 19 + -19 = 0 0 + 9x = 45 + -19 9x = 45 + -19 Combine like terms: 45 + -19 = 26 9x = 26 Divide each side by '9'. x = 2.888888889 Simplifying x = 2.888888889
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