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Simplifying 6x + -5 + 5x = 4(2x + 1) Reorder the terms: -5 + 6x + 5x = 4(2x + 1) Combine like terms: 6x + 5x = 11x -5 + 11x = 4(2x + 1) Reorder the terms: -5 + 11x = 4(1 + 2x) -5 + 11x = (1 * 4 + 2x * 4) -5 + 11x = (4 + 8x) Solving -5 + 11x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 11x + -8x = 4 + 8x + -8x Combine like terms: 11x + -8x = 3x -5 + 3x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 3x = 4 + 0 -5 + 3x = 4 Add '5' to each side of the equation. -5 + 5 + 3x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 4 + 5 3x = 4 + 5 Combine like terms: 4 + 5 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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