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Simplifying 6x + 13 + 2x + 11 = 4x + 16 Reorder the terms: 13 + 11 + 6x + 2x = 4x + 16 Combine like terms: 13 + 11 = 24 24 + 6x + 2x = 4x + 16 Combine like terms: 6x + 2x = 8x 24 + 8x = 4x + 16 Reorder the terms: 24 + 8x = 16 + 4x Solving 24 + 8x = 16 + 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. 24 + 8x + -4x = 16 + 4x + -4x Combine like terms: 8x + -4x = 4x 24 + 4x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 4x = 16 + 0 24 + 4x = 16 Add '-24' to each side of the equation. 24 + -24 + 4x = 16 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 16 + -24 4x = 16 + -24 Combine like terms: 16 + -24 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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