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Simplifying 4x + -49(3 + -2x) = 5(x + -3) + -25 4x + (3 * -49 + -2x * -49) = 5(x + -3) + -25 4x + (-147 + 98x) = 5(x + -3) + -25 Reorder the terms: -147 + 4x + 98x = 5(x + -3) + -25 Combine like terms: 4x + 98x = 102x -147 + 102x = 5(x + -3) + -25 Reorder the terms: -147 + 102x = 5(-3 + x) + -25 -147 + 102x = (-3 * 5 + x * 5) + -25 -147 + 102x = (-15 + 5x) + -25 Reorder the terms: -147 + 102x = -15 + -25 + 5x Combine like terms: -15 + -25 = -40 -147 + 102x = -40 + 5x Solving -147 + 102x = -40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -147 + 102x + -5x = -40 + 5x + -5x Combine like terms: 102x + -5x = 97x -147 + 97x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -147 + 97x = -40 + 0 -147 + 97x = -40 Add '147' to each side of the equation. -147 + 147 + 97x = -40 + 147 Combine like terms: -147 + 147 = 0 0 + 97x = -40 + 147 97x = -40 + 147 Combine like terms: -40 + 147 = 107 97x = 107 Divide each side by '97'. x = 1.103092784 Simplifying x = 1.103092784
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