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