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Simplifying x + -5 = 4 + -1(3x + -3) Reorder the terms: -5 + x = 4 + -1(3x + -3) Reorder the terms: -5 + x = 4 + -1(-3 + 3x) -5 + x = 4 + (-3 * -1 + 3x * -1) -5 + x = 4 + (3 + -3x) Combine like terms: 4 + 3 = 7 -5 + x = 7 + -3x Solving -5 + x = 7 + -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 + x + 3x = 7 + -3x + 3x Combine like terms: x + 3x = 4x -5 + 4x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 4x = 7 + 0 -5 + 4x = 7 Add '5' to each side of the equation. -5 + 5 + 4x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 7 + 5 4x = 7 + 5 Combine like terms: 7 + 5 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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