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Simplifying 2x + 3 + -5(x + 1) = 4x + 2 Reorder the terms: 2x + 3 + -5(1 + x) = 4x + 2 2x + 3 + (1 * -5 + x * -5) = 4x + 2 2x + 3 + (-5 + -5x) = 4x + 2 Reorder the terms: 3 + -5 + 2x + -5x = 4x + 2 Combine like terms: 3 + -5 = -2 -2 + 2x + -5x = 4x + 2 Combine like terms: 2x + -5x = -3x -2 + -3x = 4x + 2 Reorder the terms: -2 + -3x = 2 + 4x Solving -2 + -3x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + -3x + -4x = 2 + 4x + -4x Combine like terms: -3x + -4x = -7x -2 + -7x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -7x = 2 + 0 -2 + -7x = 2 Add '2' to each side of the equation. -2 + 2 + -7x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 2 + 2 -7x = 2 + 2 Combine like terms: 2 + 2 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714
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