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Simplifying 3x + -5 + 2 = 5x + 2(3 + x) Reorder the terms: -5 + 2 + 3x = 5x + 2(3 + x) Combine like terms: -5 + 2 = -3 -3 + 3x = 5x + 2(3 + x) -3 + 3x = 5x + (3 * 2 + x * 2) -3 + 3x = 5x + (6 + 2x) Reorder the terms: -3 + 3x = 6 + 5x + 2x Combine like terms: 5x + 2x = 7x -3 + 3x = 6 + 7x Solving -3 + 3x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + 3x + -7x = 6 + 7x + -7x Combine like terms: 3x + -7x = -4x -3 + -4x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -4x = 6 + 0 -3 + -4x = 6 Add '3' to each side of the equation. -3 + 3 + -4x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 6 + 3 -4x = 6 + 3 Combine like terms: 6 + 3 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25
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