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Simplifying 10x + -1 = 2(3x + 5) + -1 Reorder the terms: -1 + 10x = 2(3x + 5) + -1 Reorder the terms: -1 + 10x = 2(5 + 3x) + -1 -1 + 10x = (5 * 2 + 3x * 2) + -1 -1 + 10x = (10 + 6x) + -1 Reorder the terms: -1 + 10x = 10 + -1 + 6x Combine like terms: 10 + -1 = 9 -1 + 10x = 9 + 6x Solving -1 + 10x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 10x + -6x = 9 + 6x + -6x Combine like terms: 10x + -6x = 4x -1 + 4x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 4x = 9 + 0 -1 + 4x = 9 Add '1' to each side of the equation. -1 + 1 + 4x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 9 + 1 4x = 9 + 1 Combine like terms: 9 + 1 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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