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Simplifying 6 + 2(5x + -6) = 6 + -3(2x + 1) Reorder the terms: 6 + 2(-6 + 5x) = 6 + -3(2x + 1) 6 + (-6 * 2 + 5x * 2) = 6 + -3(2x + 1) 6 + (-12 + 10x) = 6 + -3(2x + 1) Combine like terms: 6 + -12 = -6 -6 + 10x = 6 + -3(2x + 1) Reorder the terms: -6 + 10x = 6 + -3(1 + 2x) -6 + 10x = 6 + (1 * -3 + 2x * -3) -6 + 10x = 6 + (-3 + -6x) Combine like terms: 6 + -3 = 3 -6 + 10x = 3 + -6x Solving -6 + 10x = 3 + -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. -6 + 10x + 6x = 3 + -6x + 6x Combine like terms: 10x + 6x = 16x -6 + 16x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 16x = 3 + 0 -6 + 16x = 3 Add '6' to each side of the equation. -6 + 6 + 16x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = 3 + 6 16x = 3 + 6 Combine like terms: 3 + 6 = 9 16x = 9 Divide each side by '16'. x = 0.5625 Simplifying x = 0.5625
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