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Simplifying 4x + -1(2x + 3) = 5 + -3(x + 2) Reorder the terms: 4x + -1(3 + 2x) = 5 + -3(x + 2) 4x + (3 * -1 + 2x * -1) = 5 + -3(x + 2) 4x + (-3 + -2x) = 5 + -3(x + 2) Reorder the terms: -3 + 4x + -2x = 5 + -3(x + 2) Combine like terms: 4x + -2x = 2x -3 + 2x = 5 + -3(x + 2) Reorder the terms: -3 + 2x = 5 + -3(2 + x) -3 + 2x = 5 + (2 * -3 + x * -3) -3 + 2x = 5 + (-6 + -3x) Combine like terms: 5 + -6 = -1 -3 + 2x = -1 + -3x Solving -3 + 2x = -1 + -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. -3 + 2x + 3x = -1 + -3x + 3x Combine like terms: 2x + 3x = 5x -3 + 5x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 5x = -1 + 0 -3 + 5x = -1 Add '3' to each side of the equation. -3 + 3 + 5x = -1 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = -1 + 3 5x = -1 + 3 Combine like terms: -1 + 3 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4
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