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Simplifying 5(3x + -1) + -2 = x + 2 Reorder the terms: 5(-1 + 3x) + -2 = x + 2 (-1 * 5 + 3x * 5) + -2 = x + 2 (-5 + 15x) + -2 = x + 2 Reorder the terms: -5 + -2 + 15x = x + 2 Combine like terms: -5 + -2 = -7 -7 + 15x = x + 2 Reorder the terms: -7 + 15x = 2 + x Solving -7 + 15x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 15x + -1x = 2 + x + -1x Combine like terms: 15x + -1x = 14x -7 + 14x = 2 + x + -1x Combine like terms: x + -1x = 0 -7 + 14x = 2 + 0 -7 + 14x = 2 Add '7' to each side of the equation. -7 + 7 + 14x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 14x = 2 + 7 14x = 2 + 7 Combine like terms: 2 + 7 = 9 14x = 9 Divide each side by '14'. x = 0.6428571429 Simplifying x = 0.6428571429
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