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Simplifying 7(3x + -15) = 4(5 + -1x) Reorder the terms: 7(-15 + 3x) = 4(5 + -1x) (-15 * 7 + 3x * 7) = 4(5 + -1x) (-105 + 21x) = 4(5 + -1x) -105 + 21x = (5 * 4 + -1x * 4) -105 + 21x = (20 + -4x) Solving -105 + 21x = 20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -105 + 21x + 4x = 20 + -4x + 4x Combine like terms: 21x + 4x = 25x -105 + 25x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 -105 + 25x = 20 + 0 -105 + 25x = 20 Add '105' to each side of the equation. -105 + 105 + 25x = 20 + 105 Combine like terms: -105 + 105 = 0 0 + 25x = 20 + 105 25x = 20 + 105 Combine like terms: 20 + 105 = 125 25x = 125 Divide each side by '25'. x = 5 Simplifying x = 5
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