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Simplifying 6x + 2(5x + -5) = 8 + -3(2x + 1) Reorder the terms: 6x + 2(-5 + 5x) = 8 + -3(2x + 1) 6x + (-5 * 2 + 5x * 2) = 8 + -3(2x + 1) 6x + (-10 + 10x) = 8 + -3(2x + 1) Reorder the terms: -10 + 6x + 10x = 8 + -3(2x + 1) Combine like terms: 6x + 10x = 16x -10 + 16x = 8 + -3(2x + 1) Reorder the terms: -10 + 16x = 8 + -3(1 + 2x) -10 + 16x = 8 + (1 * -3 + 2x * -3) -10 + 16x = 8 + (-3 + -6x) Combine like terms: 8 + -3 = 5 -10 + 16x = 5 + -6x Solving -10 + 16x = 5 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + 16x + 6x = 5 + -6x + 6x Combine like terms: 16x + 6x = 22x -10 + 22x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 22x = 5 + 0 -10 + 22x = 5 Add '10' to each side of the equation. -10 + 10 + 22x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 22x = 5 + 10 22x = 5 + 10 Combine like terms: 5 + 10 = 15 22x = 15 Divide each side by '22'. x = 0.6818181818 Simplifying x = 0.6818181818
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