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Simplifying 6(10 + -3x) = 10 + -8x (10 * 6 + -3x * 6) = 10 + -8x (60 + -18x) = 10 + -8x Solving 60 + -18x = 10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 60 + -18x + 8x = 10 + -8x + 8x Combine like terms: -18x + 8x = -10x 60 + -10x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 60 + -10x = 10 + 0 60 + -10x = 10 Add '-60' to each side of the equation. 60 + -60 + -10x = 10 + -60 Combine like terms: 60 + -60 = 0 0 + -10x = 10 + -60 -10x = 10 + -60 Combine like terms: 10 + -60 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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