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Simplifying 5(2x + -1) + 6x = 2(3 + 3x) + 5(x + 1) Reorder the terms: 5(-1 + 2x) + 6x = 2(3 + 3x) + 5(x + 1) (-1 * 5 + 2x * 5) + 6x = 2(3 + 3x) + 5(x + 1) (-5 + 10x) + 6x = 2(3 + 3x) + 5(x + 1) Combine like terms: 10x + 6x = 16x -5 + 16x = 2(3 + 3x) + 5(x + 1) -5 + 16x = (3 * 2 + 3x * 2) + 5(x + 1) -5 + 16x = (6 + 6x) + 5(x + 1) Reorder the terms: -5 + 16x = 6 + 6x + 5(1 + x) -5 + 16x = 6 + 6x + (1 * 5 + x * 5) -5 + 16x = 6 + 6x + (5 + 5x) Reorder the terms: -5 + 16x = 6 + 5 + 6x + 5x Combine like terms: 6 + 5 = 11 -5 + 16x = 11 + 6x + 5x Combine like terms: 6x + 5x = 11x -5 + 16x = 11 + 11x Solving -5 + 16x = 11 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -5 + 16x + -11x = 11 + 11x + -11x Combine like terms: 16x + -11x = 5x -5 + 5x = 11 + 11x + -11x Combine like terms: 11x + -11x = 0 -5 + 5x = 11 + 0 -5 + 5x = 11 Add '5' to each side of the equation. -5 + 5 + 5x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 11 + 5 5x = 11 + 5 Combine like terms: 11 + 5 = 16 5x = 16 Divide each side by '5'. x = 3.2 Simplifying x = 3.2
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