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Simplifying 2x + -5(x + 1) = 3 + -2(3x + -2) Reorder the terms: 2x + -5(1 + x) = 3 + -2(3x + -2) 2x + (1 * -5 + x * -5) = 3 + -2(3x + -2) 2x + (-5 + -5x) = 3 + -2(3x + -2) Reorder the terms: -5 + 2x + -5x = 3 + -2(3x + -2) Combine like terms: 2x + -5x = -3x -5 + -3x = 3 + -2(3x + -2) Reorder the terms: -5 + -3x = 3 + -2(-2 + 3x) -5 + -3x = 3 + (-2 * -2 + 3x * -2) -5 + -3x = 3 + (4 + -6x) Combine like terms: 3 + 4 = 7 -5 + -3x = 7 + -6x Solving -5 + -3x = 7 + -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 + -3x + 6x = 7 + -6x + 6x Combine like terms: -3x + 6x = 3x -5 + 3x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 3x = 7 + 0 -5 + 3x = 7 Add '5' to each side of the equation. -5 + 5 + 3x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 7 + 5 3x = 7 + 5 Combine like terms: 7 + 5 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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