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Simplifying (5x + 12) + -1(-3x + -2) = 0 Reorder the terms: (12 + 5x) + -1(-3x + -2) = 0 Remove parenthesis around (12 + 5x) 12 + 5x + -1(-3x + -2) = 0 Reorder the terms: 12 + 5x + -1(-2 + -3x) = 0 12 + 5x + (-2 * -1 + -3x * -1) = 0 12 + 5x + (2 + 3x) = 0 Reorder the terms: 12 + 2 + 5x + 3x = 0 Combine like terms: 12 + 2 = 14 14 + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x 14 + 8x = 0 Solving 14 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 0 + -14 8x = 0 + -14 Combine like terms: 0 + -14 = -14 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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