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Simplifying 2(x + 7) + 3(x + -2) = 0 Reorder the terms: 2(7 + x) + 3(x + -2) = 0 (7 * 2 + x * 2) + 3(x + -2) = 0 (14 + 2x) + 3(x + -2) = 0 Reorder the terms: 14 + 2x + 3(-2 + x) = 0 14 + 2x + (-2 * 3 + x * 3) = 0 14 + 2x + (-6 + 3x) = 0 Reorder the terms: 14 + -6 + 2x + 3x = 0 Combine like terms: 14 + -6 = 8 8 + 2x + 3x = 0 Combine like terms: 2x + 3x = 5x 8 + 5x = 0 Solving 8 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6
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