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Simplifying 2(3x + -5) = 4(6 + x) Reorder the terms: 2(-5 + 3x) = 4(6 + x) (-5 * 2 + 3x * 2) = 4(6 + x) (-10 + 6x) = 4(6 + x) -10 + 6x = (6 * 4 + x * 4) -10 + 6x = (24 + 4x) Solving -10 + 6x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 6x + -4x = 24 + 4x + -4x Combine like terms: 6x + -4x = 2x -10 + 2x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 2x = 24 + 0 -10 + 2x = 24 Add '10' to each side of the equation. -10 + 10 + 2x = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 24 + 10 2x = 24 + 10 Combine like terms: 24 + 10 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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