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Simplifying 6(2x + -1) + -13 = -2(x + 10) Reorder the terms: 6(-1 + 2x) + -13 = -2(x + 10) (-1 * 6 + 2x * 6) + -13 = -2(x + 10) (-6 + 12x) + -13 = -2(x + 10) Reorder the terms: -6 + -13 + 12x = -2(x + 10) Combine like terms: -6 + -13 = -19 -19 + 12x = -2(x + 10) Reorder the terms: -19 + 12x = -2(10 + x) -19 + 12x = (10 * -2 + x * -2) -19 + 12x = (-20 + -2x) Solving -19 + 12x = -20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -19 + 12x + 2x = -20 + -2x + 2x Combine like terms: 12x + 2x = 14x -19 + 14x = -20 + -2x + 2x Combine like terms: -2x + 2x = 0 -19 + 14x = -20 + 0 -19 + 14x = -20 Add '19' to each side of the equation. -19 + 19 + 14x = -20 + 19 Combine like terms: -19 + 19 = 0 0 + 14x = -20 + 19 14x = -20 + 19 Combine like terms: -20 + 19 = -1 14x = -1 Divide each side by '14'. x = -0.07142857143 Simplifying x = -0.07142857143
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