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Simplifying 3(x + -4) + 2(x + 7) = 0 Reorder the terms: 3(-4 + x) + 2(x + 7) = 0 (-4 * 3 + x * 3) + 2(x + 7) = 0 (-12 + 3x) + 2(x + 7) = 0 Reorder the terms: -12 + 3x + 2(7 + x) = 0 -12 + 3x + (7 * 2 + x * 2) = 0 -12 + 3x + (14 + 2x) = 0 Reorder the terms: -12 + 14 + 3x + 2x = 0 Combine like terms: -12 + 14 = 2 2 + 3x + 2x = 0 Combine like terms: 3x + 2x = 5x 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4
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