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Simplifying 3(x + 7) + -5(2x + 7) = 0 Reorder the terms: 3(7 + x) + -5(2x + 7) = 0 (7 * 3 + x * 3) + -5(2x + 7) = 0 (21 + 3x) + -5(2x + 7) = 0 Reorder the terms: 21 + 3x + -5(7 + 2x) = 0 21 + 3x + (7 * -5 + 2x * -5) = 0 21 + 3x + (-35 + -10x) = 0 Reorder the terms: 21 + -35 + 3x + -10x = 0 Combine like terms: 21 + -35 = -14 -14 + 3x + -10x = 0 Combine like terms: 3x + -10x = -7x -14 + -7x = 0 Solving -14 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -7x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -7x = 0 + 14 -7x = 0 + 14 Combine like terms: 0 + 14 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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