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Simplifying 7(3x + -2) + 5x = 6(2x + -1) + 24 Reorder the terms: 7(-2 + 3x) + 5x = 6(2x + -1) + 24 (-2 * 7 + 3x * 7) + 5x = 6(2x + -1) + 24 (-14 + 21x) + 5x = 6(2x + -1) + 24 Combine like terms: 21x + 5x = 26x -14 + 26x = 6(2x + -1) + 24 Reorder the terms: -14 + 26x = 6(-1 + 2x) + 24 -14 + 26x = (-1 * 6 + 2x * 6) + 24 -14 + 26x = (-6 + 12x) + 24 Reorder the terms: -14 + 26x = -6 + 24 + 12x Combine like terms: -6 + 24 = 18 -14 + 26x = 18 + 12x Solving -14 + 26x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + 26x + -12x = 18 + 12x + -12x Combine like terms: 26x + -12x = 14x -14 + 14x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + 14x = 18 + 0 -14 + 14x = 18 Add '14' to each side of the equation. -14 + 14 + 14x = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 14x = 18 + 14 14x = 18 + 14 Combine like terms: 18 + 14 = 32 14x = 32 Divide each side by '14'. x = 2.285714286 Simplifying x = 2.285714286
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