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Simplifying 3(x + 2) + -1(5x + -7) = 0 Reorder the terms: 3(2 + x) + -1(5x + -7) = 0 (2 * 3 + x * 3) + -1(5x + -7) = 0 (6 + 3x) + -1(5x + -7) = 0 Reorder the terms: 6 + 3x + -1(-7 + 5x) = 0 6 + 3x + (-7 * -1 + 5x * -1) = 0 6 + 3x + (7 + -5x) = 0 Reorder the terms: 6 + 7 + 3x + -5x = 0 Combine like terms: 6 + 7 = 13 13 + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x 13 + -2x = 0 Solving 13 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5
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