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Simplifying 6(5 + -1x) + -2(3x + -1) = 2 (5 * 6 + -1x * 6) + -2(3x + -1) = 2 (30 + -6x) + -2(3x + -1) = 2 Reorder the terms: 30 + -6x + -2(-1 + 3x) = 2 30 + -6x + (-1 * -2 + 3x * -2) = 2 30 + -6x + (2 + -6x) = 2 Reorder the terms: 30 + 2 + -6x + -6x = 2 Combine like terms: 30 + 2 = 32 32 + -6x + -6x = 2 Combine like terms: -6x + -6x = -12x 32 + -12x = 2 Solving 32 + -12x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -12x = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -12x = 2 + -32 -12x = 2 + -32 Combine like terms: 2 + -32 = -30 -12x = -30 Divide each side by '-12'. x = 2.5 Simplifying x = 2.5
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