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Simplifying 3(x + -5) + 1 = 2x + 1 Reorder the terms: 3(-5 + x) + 1 = 2x + 1 (-5 * 3 + x * 3) + 1 = 2x + 1 (-15 + 3x) + 1 = 2x + 1 Reorder the terms: -15 + 1 + 3x = 2x + 1 Combine like terms: -15 + 1 = -14 -14 + 3x = 2x + 1 Reorder the terms: -14 + 3x = 1 + 2x Solving -14 + 3x = 1 + 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. -14 + 3x + -2x = 1 + 2x + -2x Combine like terms: 3x + -2x = 1x -14 + 1x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 1x = 1 + 0 -14 + 1x = 1 Add '14' to each side of the equation. -14 + 14 + 1x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 1 + 14 1x = 1 + 14 Combine like terms: 1 + 14 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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