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