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Simplifying 4(7x + -2) + 1 = 5(4x + -1) Reorder the terms: 4(-2 + 7x) + 1 = 5(4x + -1) (-2 * 4 + 7x * 4) + 1 = 5(4x + -1) (-8 + 28x) + 1 = 5(4x + -1) Reorder the terms: -8 + 1 + 28x = 5(4x + -1) Combine like terms: -8 + 1 = -7 -7 + 28x = 5(4x + -1) Reorder the terms: -7 + 28x = 5(-1 + 4x) -7 + 28x = (-1 * 5 + 4x * 5) -7 + 28x = (-5 + 20x) Solving -7 + 28x = -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. -7 + 28x + -20x = -5 + 20x + -20x Combine like terms: 28x + -20x = 8x -7 + 8x = -5 + 20x + -20x Combine like terms: 20x + -20x = 0 -7 + 8x = -5 + 0 -7 + 8x = -5 Add '7' to each side of the equation. -7 + 7 + 8x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = -5 + 7 8x = -5 + 7 Combine like terms: -5 + 7 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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