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Simplifying 3(x + 2) = 1 + -1(2x + -15) Reorder the terms: 3(2 + x) = 1 + -1(2x + -15) (2 * 3 + x * 3) = 1 + -1(2x + -15) (6 + 3x) = 1 + -1(2x + -15) Reorder the terms: 6 + 3x = 1 + -1(-15 + 2x) 6 + 3x = 1 + (-15 * -1 + 2x * -1) 6 + 3x = 1 + (15 + -2x) Combine like terms: 1 + 15 = 16 6 + 3x = 16 + -2x Solving 6 + 3x = 16 + -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. 6 + 3x + 2x = 16 + -2x + 2x Combine like terms: 3x + 2x = 5x 6 + 5x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 5x = 16 + 0 6 + 5x = 16 Add '-6' to each side of the equation. 6 + -6 + 5x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 16 + -6 5x = 16 + -6 Combine like terms: 16 + -6 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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