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Simplifying 9x + 5(1 + -1x) = 2x + 19 9x + (1 * 5 + -1x * 5) = 2x + 19 9x + (5 + -5x) = 2x + 19 Reorder the terms: 5 + 9x + -5x = 2x + 19 Combine like terms: 9x + -5x = 4x 5 + 4x = 2x + 19 Reorder the terms: 5 + 4x = 19 + 2x Solving 5 + 4x = 19 + 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. 5 + 4x + -2x = 19 + 2x + -2x Combine like terms: 4x + -2x = 2x 5 + 2x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 2x = 19 + 0 5 + 2x = 19 Add '-5' to each side of the equation. 5 + -5 + 2x = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 19 + -5 2x = 19 + -5 Combine like terms: 19 + -5 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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