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Simplifying 2(5x + -1) + 5x + -1 + 3x = 78 Reorder the terms: 2(-1 + 5x) + 5x + -1 + 3x = 78 (-1 * 2 + 5x * 2) + 5x + -1 + 3x = 78 (-2 + 10x) + 5x + -1 + 3x = 78 Reorder the terms: -2 + -1 + 10x + 5x + 3x = 78 Combine like terms: -2 + -1 = -3 -3 + 10x + 5x + 3x = 78 Combine like terms: 10x + 5x = 15x -3 + 15x + 3x = 78 Combine like terms: 15x + 3x = 18x -3 + 18x = 78 Solving -3 + 18x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 18x = 78 + 3 Combine like terms: -3 + 3 = 0 0 + 18x = 78 + 3 18x = 78 + 3 Combine like terms: 78 + 3 = 81 18x = 81 Divide each side by '18'. x = 4.5 Simplifying x = 4.5
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