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Simplifying 4(7x + -1) = 5(7x + 1) Reorder the terms: 4(-1 + 7x) = 5(7x + 1) (-1 * 4 + 7x * 4) = 5(7x + 1) (-4 + 28x) = 5(7x + 1) Reorder the terms: -4 + 28x = 5(1 + 7x) -4 + 28x = (1 * 5 + 7x * 5) -4 + 28x = (5 + 35x) Solving -4 + 28x = 5 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -4 + 28x + -35x = 5 + 35x + -35x Combine like terms: 28x + -35x = -7x -4 + -7x = 5 + 35x + -35x Combine like terms: 35x + -35x = 0 -4 + -7x = 5 + 0 -4 + -7x = 5 Add '4' to each side of the equation. -4 + 4 + -7x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 5 + 4 -7x = 5 + 4 Combine like terms: 5 + 4 = 9 -7x = 9 Divide each side by '-7'. x = -1.285714286 Simplifying x = -1.285714286
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