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Simplifying 10(1 + -3x) = 8(6x + 1) (1 * 10 + -3x * 10) = 8(6x + 1) (10 + -30x) = 8(6x + 1) Reorder the terms: 10 + -30x = 8(1 + 6x) 10 + -30x = (1 * 8 + 6x * 8) 10 + -30x = (8 + 48x) Solving 10 + -30x = 8 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 10 + -30x + -48x = 8 + 48x + -48x Combine like terms: -30x + -48x = -78x 10 + -78x = 8 + 48x + -48x Combine like terms: 48x + -48x = 0 10 + -78x = 8 + 0 10 + -78x = 8 Add '-10' to each side of the equation. 10 + -10 + -78x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -78x = 8 + -10 -78x = 8 + -10 Combine like terms: 8 + -10 = -2 -78x = -2 Divide each side by '-78'. x = 0.02564102564 Simplifying x = 0.02564102564
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