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Simplifying 5(x + -3) + 1 = 3x + -2 Reorder the terms: 5(-3 + x) + 1 = 3x + -2 (-3 * 5 + x * 5) + 1 = 3x + -2 (-15 + 5x) + 1 = 3x + -2 Reorder the terms: -15 + 1 + 5x = 3x + -2 Combine like terms: -15 + 1 = -14 -14 + 5x = 3x + -2 Reorder the terms: -14 + 5x = -2 + 3x Solving -14 + 5x = -2 + 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. -14 + 5x + -3x = -2 + 3x + -3x Combine like terms: 5x + -3x = 2x -14 + 2x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 2x = -2 + 0 -14 + 2x = -2 Add '14' to each side of the equation. -14 + 14 + 2x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -2 + 14 2x = -2 + 14 Combine like terms: -2 + 14 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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