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Simplifying 2x + 3x + -1 = 5(1 + -1x) + 1 Reorder the terms: -1 + 2x + 3x = 5(1 + -1x) + 1 Combine like terms: 2x + 3x = 5x -1 + 5x = 5(1 + -1x) + 1 -1 + 5x = (1 * 5 + -1x * 5) + 1 -1 + 5x = (5 + -5x) + 1 Reorder the terms: -1 + 5x = 5 + 1 + -5x Combine like terms: 5 + 1 = 6 -1 + 5x = 6 + -5x Solving -1 + 5x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -1 + 5x + 5x = 6 + -5x + 5x Combine like terms: 5x + 5x = 10x -1 + 10x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 -1 + 10x = 6 + 0 -1 + 10x = 6 Add '1' to each side of the equation. -1 + 1 + 10x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 10x = 6 + 1 10x = 6 + 1 Combine like terms: 6 + 1 = 7 10x = 7 Divide each side by '10'. x = 0.7 Simplifying x = 0.7
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