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Simplifying 5(5x + -21) = 4(7x + -24) Reorder the terms: 5(-21 + 5x) = 4(7x + -24) (-21 * 5 + 5x * 5) = 4(7x + -24) (-105 + 25x) = 4(7x + -24) Reorder the terms: -105 + 25x = 4(-24 + 7x) -105 + 25x = (-24 * 4 + 7x * 4) -105 + 25x = (-96 + 28x) Solving -105 + 25x = -96 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -105 + 25x + -28x = -96 + 28x + -28x Combine like terms: 25x + -28x = -3x -105 + -3x = -96 + 28x + -28x Combine like terms: 28x + -28x = 0 -105 + -3x = -96 + 0 -105 + -3x = -96 Add '105' to each side of the equation. -105 + 105 + -3x = -96 + 105 Combine like terms: -105 + 105 = 0 0 + -3x = -96 + 105 -3x = -96 + 105 Combine like terms: -96 + 105 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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