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Simplifying 7(3x + -11) + -2(-2x + -5) + 9 = 0 Reorder the terms: 7(-11 + 3x) + -2(-2x + -5) + 9 = 0 (-11 * 7 + 3x * 7) + -2(-2x + -5) + 9 = 0 (-77 + 21x) + -2(-2x + -5) + 9 = 0 Reorder the terms: -77 + 21x + -2(-5 + -2x) + 9 = 0 -77 + 21x + (-5 * -2 + -2x * -2) + 9 = 0 -77 + 21x + (10 + 4x) + 9 = 0 Reorder the terms: -77 + 10 + 9 + 21x + 4x = 0 Combine like terms: -77 + 10 = -67 -67 + 9 + 21x + 4x = 0 Combine like terms: -67 + 9 = -58 -58 + 21x + 4x = 0 Combine like terms: 21x + 4x = 25x -58 + 25x = 0 Solving -58 + 25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 25x = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 25x = 0 + 58 25x = 0 + 58 Combine like terms: 0 + 58 = 58 25x = 58 Divide each side by '25'. x = 2.32 Simplifying x = 2.32
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