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Simplifying 3(7 + -2x) + -5(2x + 1) = 0 (7 * 3 + -2x * 3) + -5(2x + 1) = 0 (21 + -6x) + -5(2x + 1) = 0 Reorder the terms: 21 + -6x + -5(1 + 2x) = 0 21 + -6x + (1 * -5 + 2x * -5) = 0 21 + -6x + (-5 + -10x) = 0 Reorder the terms: 21 + -5 + -6x + -10x = 0 Combine like terms: 21 + -5 = 16 16 + -6x + -10x = 0 Combine like terms: -6x + -10x = -16x 16 + -16x = 0 Solving 16 + -16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -16x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -16x = 0 + -16 -16x = 0 + -16 Combine like terms: 0 + -16 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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