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Simplifying 6 + 2(3x + -5) = 8 + -5(2x + 1) Reorder the terms: 6 + 2(-5 + 3x) = 8 + -5(2x + 1) 6 + (-5 * 2 + 3x * 2) = 8 + -5(2x + 1) 6 + (-10 + 6x) = 8 + -5(2x + 1) Combine like terms: 6 + -10 = -4 -4 + 6x = 8 + -5(2x + 1) Reorder the terms: -4 + 6x = 8 + -5(1 + 2x) -4 + 6x = 8 + (1 * -5 + 2x * -5) -4 + 6x = 8 + (-5 + -10x) Combine like terms: 8 + -5 = 3 -4 + 6x = 3 + -10x Solving -4 + 6x = 3 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -4 + 6x + 10x = 3 + -10x + 10x Combine like terms: 6x + 10x = 16x -4 + 16x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 -4 + 16x = 3 + 0 -4 + 16x = 3 Add '4' to each side of the equation. -4 + 4 + 16x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 16x = 3 + 4 16x = 3 + 4 Combine like terms: 3 + 4 = 7 16x = 7 Divide each side by '16'. x = 0.4375 Simplifying x = 0.4375
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