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Simplifying 4(x + 7) + 3(x + -5) = 0 Reorder the terms: 4(7 + x) + 3(x + -5) = 0 (7 * 4 + x * 4) + 3(x + -5) = 0 (28 + 4x) + 3(x + -5) = 0 Reorder the terms: 28 + 4x + 3(-5 + x) = 0 28 + 4x + (-5 * 3 + x * 3) = 0 28 + 4x + (-15 + 3x) = 0 Reorder the terms: 28 + -15 + 4x + 3x = 0 Combine like terms: 28 + -15 = 13 13 + 4x + 3x = 0 Combine like terms: 4x + 3x = 7x 13 + 7x = 0 Solving 13 + 7x = 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 + 7x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 0 + -13 7x = 0 + -13 Combine like terms: 0 + -13 = -13 7x = -13 Divide each side by '7'. x = -1.857142857 Simplifying x = -1.857142857
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