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Simplifying 5x + -1(x + 2) = -5(1 + x) + 3 Reorder the terms: 5x + -1(2 + x) = -5(1 + x) + 3 5x + (2 * -1 + x * -1) = -5(1 + x) + 3 5x + (-2 + -1x) = -5(1 + x) + 3 Reorder the terms: -2 + 5x + -1x = -5(1 + x) + 3 Combine like terms: 5x + -1x = 4x -2 + 4x = -5(1 + x) + 3 -2 + 4x = (1 * -5 + x * -5) + 3 -2 + 4x = (-5 + -5x) + 3 Reorder the terms: -2 + 4x = -5 + 3 + -5x Combine like terms: -5 + 3 = -2 -2 + 4x = -2 + -5x Add '2' to each side of the equation. -2 + 2 + 4x = -2 + 2 + -5x Combine like terms: -2 + 2 = 0 0 + 4x = -2 + 2 + -5x 4x = -2 + 2 + -5x Combine like terms: -2 + 2 = 0 4x = 0 + -5x 4x = -5x Solving 4x = -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. 4x + 5x = -5x + 5x Combine like terms: 4x + 5x = 9x 9x = -5x + 5x Combine like terms: -5x + 5x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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