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Simplifying 5(3x + -4) = 4x + 35 Reorder the terms: 5(-4 + 3x) = 4x + 35 (-4 * 5 + 3x * 5) = 4x + 35 (-20 + 15x) = 4x + 35 Reorder the terms: -20 + 15x = 35 + 4x Solving -20 + 15x = 35 + 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. -20 + 15x + -4x = 35 + 4x + -4x Combine like terms: 15x + -4x = 11x -20 + 11x = 35 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 11x = 35 + 0 -20 + 11x = 35 Add '20' to each side of the equation. -20 + 20 + 11x = 35 + 20 Combine like terms: -20 + 20 = 0 0 + 11x = 35 + 20 11x = 35 + 20 Combine like terms: 35 + 20 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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