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Simplifying 3(2x + -5) = 4(x + 5) Reorder the terms: 3(-5 + 2x) = 4(x + 5) (-5 * 3 + 2x * 3) = 4(x + 5) (-15 + 6x) = 4(x + 5) Reorder the terms: -15 + 6x = 4(5 + x) -15 + 6x = (5 * 4 + x * 4) -15 + 6x = (20 + 4x) Solving -15 + 6x = 20 + 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. -15 + 6x + -4x = 20 + 4x + -4x Combine like terms: 6x + -4x = 2x -15 + 2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 2x = 20 + 0 -15 + 2x = 20 Add '15' to each side of the equation. -15 + 15 + 2x = 20 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 20 + 15 2x = 20 + 15 Combine like terms: 20 + 15 = 35 2x = 35 Divide each side by '2'. x = 17.5 Simplifying x = 17.5
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