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Simplifying 5(5 + 5x + -30) = 4(16 + 4x + -12) Reorder the terms: 5(5 + -30 + 5x) = 4(16 + 4x + -12) Combine like terms: 5 + -30 = -25 5(-25 + 5x) = 4(16 + 4x + -12) (-25 * 5 + 5x * 5) = 4(16 + 4x + -12) (-125 + 25x) = 4(16 + 4x + -12) Reorder the terms: -125 + 25x = 4(16 + -12 + 4x) Combine like terms: 16 + -12 = 4 -125 + 25x = 4(4 + 4x) -125 + 25x = (4 * 4 + 4x * 4) -125 + 25x = (16 + 16x) Solving -125 + 25x = 16 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -125 + 25x + -16x = 16 + 16x + -16x Combine like terms: 25x + -16x = 9x -125 + 9x = 16 + 16x + -16x Combine like terms: 16x + -16x = 0 -125 + 9x = 16 + 0 -125 + 9x = 16 Add '125' to each side of the equation. -125 + 125 + 9x = 16 + 125 Combine like terms: -125 + 125 = 0 0 + 9x = 16 + 125 9x = 16 + 125 Combine like terms: 16 + 125 = 141 9x = 141 Divide each side by '9'. x = 15.66666667 Simplifying x = 15.66666667
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