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Simplifying 4x + (-5) + -1(2x + 2) = 3x + -1(3x + 3) 4x + -5 + -1(2x + 2) = 3x + -1(3x + 3) Reorder the terms: 4x + -5 + -1(2 + 2x) = 3x + -1(3x + 3) 4x + -5 + (2 * -1 + 2x * -1) = 3x + -1(3x + 3) 4x + -5 + (-2 + -2x) = 3x + -1(3x + 3) Reorder the terms: -5 + -2 + 4x + -2x = 3x + -1(3x + 3) Combine like terms: -5 + -2 = -7 -7 + 4x + -2x = 3x + -1(3x + 3) Combine like terms: 4x + -2x = 2x -7 + 2x = 3x + -1(3x + 3) Reorder the terms: -7 + 2x = 3x + -1(3 + 3x) -7 + 2x = 3x + (3 * -1 + 3x * -1) -7 + 2x = 3x + (-3 + -3x) Reorder the terms: -7 + 2x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 2x = -3 + 0 -7 + 2x = -3 Solving -7 + 2x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -3 + 7 2x = -3 + 7 Combine like terms: -3 + 7 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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