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Simplifying 4(5x + -2) = 3(7x + -1) Reorder the terms: 4(-2 + 5x) = 3(7x + -1) (-2 * 4 + 5x * 4) = 3(7x + -1) (-8 + 20x) = 3(7x + -1) Reorder the terms: -8 + 20x = 3(-1 + 7x) -8 + 20x = (-1 * 3 + 7x * 3) -8 + 20x = (-3 + 21x) Solving -8 + 20x = -3 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -8 + 20x + -21x = -3 + 21x + -21x Combine like terms: 20x + -21x = -1x -8 + -1x = -3 + 21x + -21x Combine like terms: 21x + -21x = 0 -8 + -1x = -3 + 0 -8 + -1x = -3 Add '8' to each side of the equation. -8 + 8 + -1x = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -3 + 8 -1x = -3 + 8 Combine like terms: -3 + 8 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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