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Simplifying 4(3x + 8) = 6(5x + -10) Reorder the terms: 4(8 + 3x) = 6(5x + -10) (8 * 4 + 3x * 4) = 6(5x + -10) (32 + 12x) = 6(5x + -10) Reorder the terms: 32 + 12x = 6(-10 + 5x) 32 + 12x = (-10 * 6 + 5x * 6) 32 + 12x = (-60 + 30x) Solving 32 + 12x = -60 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 32 + 12x + -30x = -60 + 30x + -30x Combine like terms: 12x + -30x = -18x 32 + -18x = -60 + 30x + -30x Combine like terms: 30x + -30x = 0 32 + -18x = -60 + 0 32 + -18x = -60 Add '-32' to each side of the equation. 32 + -32 + -18x = -60 + -32 Combine like terms: 32 + -32 = 0 0 + -18x = -60 + -32 -18x = -60 + -32 Combine like terms: -60 + -32 = -92 -18x = -92 Divide each side by '-18'. x = 5.111111111 Simplifying x = 5.111111111
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