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Simplifying -5x + 4(7 + 4x) = 36 + 7x -5x + (7 * 4 + 4x * 4) = 36 + 7x -5x + (28 + 16x) = 36 + 7x Reorder the terms: 28 + -5x + 16x = 36 + 7x Combine like terms: -5x + 16x = 11x 28 + 11x = 36 + 7x Solving 28 + 11x = 36 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 28 + 11x + -7x = 36 + 7x + -7x Combine like terms: 11x + -7x = 4x 28 + 4x = 36 + 7x + -7x Combine like terms: 7x + -7x = 0 28 + 4x = 36 + 0 28 + 4x = 36 Add '-28' to each side of the equation. 28 + -28 + 4x = 36 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = 36 + -28 4x = 36 + -28 Combine like terms: 36 + -28 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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