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Simplifying 6(2x + -1) + -5 = 7(3 + -2x) + -24 Reorder the terms: 6(-1 + 2x) + -5 = 7(3 + -2x) + -24 (-1 * 6 + 2x * 6) + -5 = 7(3 + -2x) + -24 (-6 + 12x) + -5 = 7(3 + -2x) + -24 Reorder the terms: -6 + -5 + 12x = 7(3 + -2x) + -24 Combine like terms: -6 + -5 = -11 -11 + 12x = 7(3 + -2x) + -24 -11 + 12x = (3 * 7 + -2x * 7) + -24 -11 + 12x = (21 + -14x) + -24 Reorder the terms: -11 + 12x = 21 + -24 + -14x Combine like terms: 21 + -24 = -3 -11 + 12x = -3 + -14x Solving -11 + 12x = -3 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -11 + 12x + 14x = -3 + -14x + 14x Combine like terms: 12x + 14x = 26x -11 + 26x = -3 + -14x + 14x Combine like terms: -14x + 14x = 0 -11 + 26x = -3 + 0 -11 + 26x = -3 Add '11' to each side of the equation. -11 + 11 + 26x = -3 + 11 Combine like terms: -11 + 11 = 0 0 + 26x = -3 + 11 26x = -3 + 11 Combine like terms: -3 + 11 = 8 26x = 8 Divide each side by '26'. x = 0.3076923077 Simplifying x = 0.3076923077
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