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Simplifying 10(3 + -1x) + 2(x + -2) = 6(2 + -2) (3 * 10 + -1x * 10) + 2(x + -2) = 6(2 + -2) (30 + -10x) + 2(x + -2) = 6(2 + -2) Reorder the terms: 30 + -10x + 2(-2 + x) = 6(2 + -2) 30 + -10x + (-2 * 2 + x * 2) = 6(2 + -2) 30 + -10x + (-4 + 2x) = 6(2 + -2) Reorder the terms: 30 + -4 + -10x + 2x = 6(2 + -2) Combine like terms: 30 + -4 = 26 26 + -10x + 2x = 6(2 + -2) Combine like terms: -10x + 2x = -8x 26 + -8x = 6(2 + -2) Combine like terms: 2 + -2 = 0 26 + -8x = 6(0) Multiply 6 * 0 26 + -8x = 0 Anything times zero is zero. 26 + -8x = 0 Solving 26 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -8x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -8x = 0 + -26 -8x = 0 + -26 Combine like terms: 0 + -26 = -26 -8x = -26 Divide each side by '-8'. x = 3.25 Simplifying x = 3.25
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