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Simplifying 7(x + -4) + -5(x + 2) = 0 Reorder the terms: 7(-4 + x) + -5(x + 2) = 0 (-4 * 7 + x * 7) + -5(x + 2) = 0 (-28 + 7x) + -5(x + 2) = 0 Reorder the terms: -28 + 7x + -5(2 + x) = 0 -28 + 7x + (2 * -5 + x * -5) = 0 -28 + 7x + (-10 + -5x) = 0 Reorder the terms: -28 + -10 + 7x + -5x = 0 Combine like terms: -28 + -10 = -38 -38 + 7x + -5x = 0 Combine like terms: 7x + -5x = 2x -38 + 2x = 0 Solving -38 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 2x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = 0 + 38 2x = 0 + 38 Combine like terms: 0 + 38 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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