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Simplifying 7x + -2 + 5x + 5x + 9x + -2 = 2(5x + 5 + 4x) Reorder the terms: -2 + -2 + 7x + 5x + 5x + 9x = 2(5x + 5 + 4x) Combine like terms: -2 + -2 = -4 -4 + 7x + 5x + 5x + 9x = 2(5x + 5 + 4x) Combine like terms: 7x + 5x = 12x -4 + 12x + 5x + 9x = 2(5x + 5 + 4x) Combine like terms: 12x + 5x = 17x -4 + 17x + 9x = 2(5x + 5 + 4x) Combine like terms: 17x + 9x = 26x -4 + 26x = 2(5x + 5 + 4x) Reorder the terms: -4 + 26x = 2(5 + 5x + 4x) Combine like terms: 5x + 4x = 9x -4 + 26x = 2(5 + 9x) -4 + 26x = (5 * 2 + 9x * 2) -4 + 26x = (10 + 18x) Solving -4 + 26x = 10 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -4 + 26x + -18x = 10 + 18x + -18x Combine like terms: 26x + -18x = 8x -4 + 8x = 10 + 18x + -18x Combine like terms: 18x + -18x = 0 -4 + 8x = 10 + 0 -4 + 8x = 10 Add '4' to each side of the equation. -4 + 4 + 8x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 10 + 4 8x = 10 + 4 Combine like terms: 10 + 4 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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