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Simplifying 3x + -5 + 4x + 8 = 6x + 11 + -3x + 4 Reorder the terms: -5 + 8 + 3x + 4x = 6x + 11 + -3x + 4 Combine like terms: -5 + 8 = 3 3 + 3x + 4x = 6x + 11 + -3x + 4 Combine like terms: 3x + 4x = 7x 3 + 7x = 6x + 11 + -3x + 4 Reorder the terms: 3 + 7x = 11 + 4 + 6x + -3x Combine like terms: 11 + 4 = 15 3 + 7x = 15 + 6x + -3x Combine like terms: 6x + -3x = 3x 3 + 7x = 15 + 3x Solving 3 + 7x = 15 + 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 = 15 + 3x + -3x Combine like terms: 7x + -3x = 4x 3 + 4x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 4x = 15 + 0 3 + 4x = 15 Add '-3' to each side of the equation. 3 + -3 + 4x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 15 + -3 4x = 15 + -3 Combine like terms: 15 + -3 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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