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Simplifying 5(x + -3) + 2 = 3x + 2 Reorder the terms: 5(-3 + x) + 2 = 3x + 2 (-3 * 5 + x * 5) + 2 = 3x + 2 (-15 + 5x) + 2 = 3x + 2 Reorder the terms: -15 + 2 + 5x = 3x + 2 Combine like terms: -15 + 2 = -13 -13 + 5x = 3x + 2 Reorder the terms: -13 + 5x = 2 + 3x Solving -13 + 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. -13 + 5x + -3x = 2 + 3x + -3x Combine like terms: 5x + -3x = 2x -13 + 2x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 2x = 2 + 0 -13 + 2x = 2 Add '13' to each side of the equation. -13 + 13 + 2x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 2 + 13 2x = 2 + 13 Combine like terms: 2 + 13 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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