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