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Simplifying 4x + -11 = 5(4x + 1) Reorder the terms: -11 + 4x = 5(4x + 1) Reorder the terms: -11 + 4x = 5(1 + 4x) -11 + 4x = (1 * 5 + 4x * 5) -11 + 4x = (5 + 20x) Solving -11 + 4x = 5 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -11 + 4x + -20x = 5 + 20x + -20x Combine like terms: 4x + -20x = -16x -11 + -16x = 5 + 20x + -20x Combine like terms: 20x + -20x = 0 -11 + -16x = 5 + 0 -11 + -16x = 5 Add '11' to each side of the equation. -11 + 11 + -16x = 5 + 11 Combine like terms: -11 + 11 = 0 0 + -16x = 5 + 11 -16x = 5 + 11 Combine like terms: 5 + 11 = 16 -16x = 16 Divide each side by '-16'. x = -1 Simplifying x = -1
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