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Simplifying 5x + -2(x + 1) = x + -1(3x + -5) Reorder the terms: 5x + -2(1 + x) = x + -1(3x + -5) 5x + (1 * -2 + x * -2) = x + -1(3x + -5) 5x + (-2 + -2x) = x + -1(3x + -5) Reorder the terms: -2 + 5x + -2x = x + -1(3x + -5) Combine like terms: 5x + -2x = 3x -2 + 3x = x + -1(3x + -5) Reorder the terms: -2 + 3x = x + -1(-5 + 3x) -2 + 3x = x + (-5 * -1 + 3x * -1) -2 + 3x = x + (5 + -3x) Reorder the terms: -2 + 3x = 5 + x + -3x Combine like terms: x + -3x = -2x -2 + 3x = 5 + -2x Solving -2 + 3x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 3x + 2x = 5 + -2x + 2x Combine like terms: 3x + 2x = 5x -2 + 5x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 5x = 5 + 0 -2 + 5x = 5 Add '2' to each side of the equation. -2 + 2 + 5x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 5 + 2 5x = 5 + 2 Combine like terms: 5 + 2 = 7 5x = 7 Divide each side by '5'. x = 1.4 Simplifying x = 1.4
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