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