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Simplifying 2x + 2 = 9 + -1(3x + -5) Reorder the terms: 2 + 2x = 9 + -1(3x + -5) Reorder the terms: 2 + 2x = 9 + -1(-5 + 3x) 2 + 2x = 9 + (-5 * -1 + 3x * -1) 2 + 2x = 9 + (5 + -3x) Combine like terms: 9 + 5 = 14 2 + 2x = 14 + -3x Solving 2 + 2x = 14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + 2x + 3x = 14 + -3x + 3x Combine like terms: 2x + 3x = 5x 2 + 5x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 5x = 14 + 0 2 + 5x = 14 Add '-2' to each side of the equation. 2 + -2 + 5x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 14 + -2 5x = 14 + -2 Combine like terms: 14 + -2 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4
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