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Simplifying 2(5x + -3) + 7(x + -4) = 0 Reorder the terms: 2(-3 + 5x) + 7(x + -4) = 0 (-3 * 2 + 5x * 2) + 7(x + -4) = 0 (-6 + 10x) + 7(x + -4) = 0 Reorder the terms: -6 + 10x + 7(-4 + x) = 0 -6 + 10x + (-4 * 7 + x * 7) = 0 -6 + 10x + (-28 + 7x) = 0 Reorder the terms: -6 + -28 + 10x + 7x = 0 Combine like terms: -6 + -28 = -34 -34 + 10x + 7x = 0 Combine like terms: 10x + 7x = 17x -34 + 17x = 0 Solving -34 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 17x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 17x = 0 + 34 17x = 0 + 34 Combine like terms: 0 + 34 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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