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Simplifying 4(x + 3) + 3(x + -5) = 0 Reorder the terms: 4(3 + x) + 3(x + -5) = 0 (3 * 4 + x * 4) + 3(x + -5) = 0 (12 + 4x) + 3(x + -5) = 0 Reorder the terms: 12 + 4x + 3(-5 + x) = 0 12 + 4x + (-5 * 3 + x * 3) = 0 12 + 4x + (-15 + 3x) = 0 Reorder the terms: 12 + -15 + 4x + 3x = 0 Combine like terms: 12 + -15 = -3 -3 + 4x + 3x = 0 Combine like terms: 4x + 3x = 7x -3 + 7x = 0 Solving -3 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 0 + 3 7x = 0 + 3 Combine like terms: 0 + 3 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286
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