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Simplifying 4x + -5 = 3 + -2(3x + -1) Reorder the terms: -5 + 4x = 3 + -2(3x + -1) Reorder the terms: -5 + 4x = 3 + -2(-1 + 3x) -5 + 4x = 3 + (-1 * -2 + 3x * -2) -5 + 4x = 3 + (2 + -6x) Combine like terms: 3 + 2 = 5 -5 + 4x = 5 + -6x Solving -5 + 4x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -5 + 4x + 6x = 5 + -6x + 6x Combine like terms: 4x + 6x = 10x -5 + 10x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 10x = 5 + 0 -5 + 10x = 5 Add '5' to each side of the equation. -5 + 5 + 10x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = 5 + 5 10x = 5 + 5 Combine like terms: 5 + 5 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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