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Simplifying 7(3x + -5) + -2(x + 11) = 0 Reorder the terms: 7(-5 + 3x) + -2(x + 11) = 0 (-5 * 7 + 3x * 7) + -2(x + 11) = 0 (-35 + 21x) + -2(x + 11) = 0 Reorder the terms: -35 + 21x + -2(11 + x) = 0 -35 + 21x + (11 * -2 + x * -2) = 0 -35 + 21x + (-22 + -2x) = 0 Reorder the terms: -35 + -22 + 21x + -2x = 0 Combine like terms: -35 + -22 = -57 -57 + 21x + -2x = 0 Combine like terms: 21x + -2x = 19x -57 + 19x = 0 Solving -57 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 19x = 0 + 57 Combine like terms: -57 + 57 = 0 0 + 19x = 0 + 57 19x = 0 + 57 Combine like terms: 0 + 57 = 57 19x = 57 Divide each side by '19'. x = 3 Simplifying x = 3
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