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Simplifying 2(5x + 3) + -6(x + -8) = 6 Reorder the terms: 2(3 + 5x) + -6(x + -8) = 6 (3 * 2 + 5x * 2) + -6(x + -8) = 6 (6 + 10x) + -6(x + -8) = 6 Reorder the terms: 6 + 10x + -6(-8 + x) = 6 6 + 10x + (-8 * -6 + x * -6) = 6 6 + 10x + (48 + -6x) = 6 Reorder the terms: 6 + 48 + 10x + -6x = 6 Combine like terms: 6 + 48 = 54 54 + 10x + -6x = 6 Combine like terms: 10x + -6x = 4x 54 + 4x = 6 Solving 54 + 4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 4x = 6 + -54 Combine like terms: 54 + -54 = 0 0 + 4x = 6 + -54 4x = 6 + -54 Combine like terms: 6 + -54 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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