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Simplifying 5x + -3 + 2(x + 1) = -5x + 4 Reorder the terms: 5x + -3 + 2(1 + x) = -5x + 4 5x + -3 + (1 * 2 + x * 2) = -5x + 4 5x + -3 + (2 + 2x) = -5x + 4 Reorder the terms: -3 + 2 + 5x + 2x = -5x + 4 Combine like terms: -3 + 2 = -1 -1 + 5x + 2x = -5x + 4 Combine like terms: 5x + 2x = 7x -1 + 7x = -5x + 4 Reorder the terms: -1 + 7x = 4 + -5x Solving -1 + 7x = 4 + -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 + 7x + 5x = 4 + -5x + 5x Combine like terms: 7x + 5x = 12x -1 + 12x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 -1 + 12x = 4 + 0 -1 + 12x = 4 Add '1' to each side of the equation. -1 + 1 + 12x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 12x = 4 + 1 12x = 4 + 1 Combine like terms: 4 + 1 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667
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