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Simplifying 5x + 2 = 5 + -1(5x + -9) Reorder the terms: 2 + 5x = 5 + -1(5x + -9) Reorder the terms: 2 + 5x = 5 + -1(-9 + 5x) 2 + 5x = 5 + (-9 * -1 + 5x * -1) 2 + 5x = 5 + (9 + -5x) Combine like terms: 5 + 9 = 14 2 + 5x = 14 + -5x Solving 2 + 5x = 14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 5x + 5x = 14 + -5x + 5x Combine like terms: 5x + 5x = 10x 2 + 10x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 10x = 14 + 0 2 + 10x = 14 Add '-2' to each side of the equation. 2 + -2 + 10x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 14 + -2 10x = 14 + -2 Combine like terms: 14 + -2 = 12 10x = 12 Divide each side by '10'. x = 1.2 Simplifying x = 1.2
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