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Simplifying 5(3x + -6) = 2(8 + -4x) Reorder the terms: 5(-6 + 3x) = 2(8 + -4x) (-6 * 5 + 3x * 5) = 2(8 + -4x) (-30 + 15x) = 2(8 + -4x) -30 + 15x = (8 * 2 + -4x * 2) -30 + 15x = (16 + -8x) Solving -30 + 15x = 16 + -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. -30 + 15x + 8x = 16 + -8x + 8x Combine like terms: 15x + 8x = 23x -30 + 23x = 16 + -8x + 8x Combine like terms: -8x + 8x = 0 -30 + 23x = 16 + 0 -30 + 23x = 16 Add '30' to each side of the equation. -30 + 30 + 23x = 16 + 30 Combine like terms: -30 + 30 = 0 0 + 23x = 16 + 30 23x = 16 + 30 Combine like terms: 16 + 30 = 46 23x = 46 Divide each side by '23'. x = 2 Simplifying x = 2
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