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Simplifying 3(x + 5) + -2x + 1 = 1 Reorder the terms: 3(5 + x) + -2x + 1 = 1 (5 * 3 + x * 3) + -2x + 1 = 1 (15 + 3x) + -2x + 1 = 1 Reorder the terms: 15 + 1 + 3x + -2x = 1 Combine like terms: 15 + 1 = 16 16 + 3x + -2x = 1 Combine like terms: 3x + -2x = 1x 16 + 1x = 1 Solving 16 + 1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1x = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 1 + -16 1x = 1 + -16 Combine like terms: 1 + -16 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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