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Simplifying 7(3x + -2) + 5 = 7(2x + -1) + 24 Reorder the terms: 7(-2 + 3x) + 5 = 7(2x + -1) + 24 (-2 * 7 + 3x * 7) + 5 = 7(2x + -1) + 24 (-14 + 21x) + 5 = 7(2x + -1) + 24 Reorder the terms: -14 + 5 + 21x = 7(2x + -1) + 24 Combine like terms: -14 + 5 = -9 -9 + 21x = 7(2x + -1) + 24 Reorder the terms: -9 + 21x = 7(-1 + 2x) + 24 -9 + 21x = (-1 * 7 + 2x * 7) + 24 -9 + 21x = (-7 + 14x) + 24 Reorder the terms: -9 + 21x = -7 + 24 + 14x Combine like terms: -7 + 24 = 17 -9 + 21x = 17 + 14x Solving -9 + 21x = 17 + 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. -9 + 21x + -14x = 17 + 14x + -14x Combine like terms: 21x + -14x = 7x -9 + 7x = 17 + 14x + -14x Combine like terms: 14x + -14x = 0 -9 + 7x = 17 + 0 -9 + 7x = 17 Add '9' to each side of the equation. -9 + 9 + 7x = 17 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 17 + 9 7x = 17 + 9 Combine like terms: 17 + 9 = 26 7x = 26 Divide each side by '7'. x = 3.714285714 Simplifying x = 3.714285714
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