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Simplifying 2(4x + -5) = 2(3x + 10) Reorder the terms: 2(-5 + 4x) = 2(3x + 10) (-5 * 2 + 4x * 2) = 2(3x + 10) (-10 + 8x) = 2(3x + 10) Reorder the terms: -10 + 8x = 2(10 + 3x) -10 + 8x = (10 * 2 + 3x * 2) -10 + 8x = (20 + 6x) Solving -10 + 8x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + 8x + -6x = 20 + 6x + -6x Combine like terms: 8x + -6x = 2x -10 + 2x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 2x = 20 + 0 -10 + 2x = 20 Add '10' to each side of the equation. -10 + 10 + 2x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 20 + 10 2x = 20 + 10 Combine like terms: 20 + 10 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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