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Simplifying 5x + -3 + 2x = 3(x + -2) + 11 Reorder the terms: -3 + 5x + 2x = 3(x + -2) + 11 Combine like terms: 5x + 2x = 7x -3 + 7x = 3(x + -2) + 11 Reorder the terms: -3 + 7x = 3(-2 + x) + 11 -3 + 7x = (-2 * 3 + x * 3) + 11 -3 + 7x = (-6 + 3x) + 11 Reorder the terms: -3 + 7x = -6 + 11 + 3x Combine like terms: -6 + 11 = 5 -3 + 7x = 5 + 3x Solving -3 + 7x = 5 + 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 + 7x + -3x = 5 + 3x + -3x Combine like terms: 7x + -3x = 4x -3 + 4x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 4x = 5 + 0 -3 + 4x = 5 Add '3' to each side of the equation. -3 + 3 + 4x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 5 + 3 4x = 5 + 3 Combine like terms: 5 + 3 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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