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Simplifying 7(x + 2) + 3(x + -4) = 0 Reorder the terms: 7(2 + x) + 3(x + -4) = 0 (2 * 7 + x * 7) + 3(x + -4) = 0 (14 + 7x) + 3(x + -4) = 0 Reorder the terms: 14 + 7x + 3(-4 + x) = 0 14 + 7x + (-4 * 3 + x * 3) = 0 14 + 7x + (-12 + 3x) = 0 Reorder the terms: 14 + -12 + 7x + 3x = 0 Combine like terms: 14 + -12 = 2 2 + 7x + 3x = 0 Combine like terms: 7x + 3x = 10x 2 + 10x = 0 Solving 2 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 10x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 0 + -2 10x = 0 + -2 Combine like terms: 0 + -2 = -2 10x = -2 Divide each side by '10'. x = -0.2 Simplifying x = -0.2
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