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Simplifying -5(2x + 3) + -1(2x + 1) = 0 Reorder the terms: -5(3 + 2x) + -1(2x + 1) = 0 (3 * -5 + 2x * -5) + -1(2x + 1) = 0 (-15 + -10x) + -1(2x + 1) = 0 Reorder the terms: -15 + -10x + -1(1 + 2x) = 0 -15 + -10x + (1 * -1 + 2x * -1) = 0 -15 + -10x + (-1 + -2x) = 0 Reorder the terms: -15 + -1 + -10x + -2x = 0 Combine like terms: -15 + -1 = -16 -16 + -10x + -2x = 0 Combine like terms: -10x + -2x = -12x -16 + -12x = 0 Solving -16 + -12x = 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 + -12x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -12x = 0 + 16 -12x = 0 + 16 Combine like terms: 0 + 16 = 16 -12x = 16 Divide each side by '-12'. x = -1.333333333 Simplifying x = -1.333333333
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