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Simplifying 2(x + 4) + 7(x + -5) + 3 = 0 Reorder the terms: 2(4 + x) + 7(x + -5) + 3 = 0 (4 * 2 + x * 2) + 7(x + -5) + 3 = 0 (8 + 2x) + 7(x + -5) + 3 = 0 Reorder the terms: 8 + 2x + 7(-5 + x) + 3 = 0 8 + 2x + (-5 * 7 + x * 7) + 3 = 0 8 + 2x + (-35 + 7x) + 3 = 0 Reorder the terms: 8 + -35 + 3 + 2x + 7x = 0 Combine like terms: 8 + -35 = -27 -27 + 3 + 2x + 7x = 0 Combine like terms: -27 + 3 = -24 -24 + 2x + 7x = 0 Combine like terms: 2x + 7x = 9x -24 + 9x = 0 Solving -24 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 9x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = 0 + 24 9x = 0 + 24 Combine like terms: 0 + 24 = 24 9x = 24 Divide each side by '9'. x = 2.666666667 Simplifying x = 2.666666667
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