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Simplifying 10x + 5(3x + -7) + 9(3 + -2x) = 2(2x + 5) + 15 Reorder the terms: 10x + 5(-7 + 3x) + 9(3 + -2x) = 2(2x + 5) + 15 10x + (-7 * 5 + 3x * 5) + 9(3 + -2x) = 2(2x + 5) + 15 10x + (-35 + 15x) + 9(3 + -2x) = 2(2x + 5) + 15 10x + -35 + 15x + (3 * 9 + -2x * 9) = 2(2x + 5) + 15 10x + -35 + 15x + (27 + -18x) = 2(2x + 5) + 15 Reorder the terms: -35 + 27 + 10x + 15x + -18x = 2(2x + 5) + 15 Combine like terms: -35 + 27 = -8 -8 + 10x + 15x + -18x = 2(2x + 5) + 15 Combine like terms: 10x + 15x = 25x -8 + 25x + -18x = 2(2x + 5) + 15 Combine like terms: 25x + -18x = 7x -8 + 7x = 2(2x + 5) + 15 Reorder the terms: -8 + 7x = 2(5 + 2x) + 15 -8 + 7x = (5 * 2 + 2x * 2) + 15 -8 + 7x = (10 + 4x) + 15 Reorder the terms: -8 + 7x = 10 + 15 + 4x Combine like terms: 10 + 15 = 25 -8 + 7x = 25 + 4x Solving -8 + 7x = 25 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 7x + -4x = 25 + 4x + -4x Combine like terms: 7x + -4x = 3x -8 + 3x = 25 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 3x = 25 + 0 -8 + 3x = 25 Add '8' to each side of the equation. -8 + 8 + 3x = 25 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 25 + 8 3x = 25 + 8 Combine like terms: 25 + 8 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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