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Simplifying 5(2 + -9x) + 50x = 2(4x + -1) (2 * 5 + -9x * 5) + 50x = 2(4x + -1) (10 + -45x) + 50x = 2(4x + -1) Combine like terms: -45x + 50x = 5x 10 + 5x = 2(4x + -1) Reorder the terms: 10 + 5x = 2(-1 + 4x) 10 + 5x = (-1 * 2 + 4x * 2) 10 + 5x = (-2 + 8x) Solving 10 + 5x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 5x + -8x = -2 + 8x + -8x Combine like terms: 5x + -8x = -3x 10 + -3x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -3x = -2 + 0 10 + -3x = -2 Add '-10' to each side of the equation. 10 + -10 + -3x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = -2 + -10 -3x = -2 + -10 Combine like terms: -2 + -10 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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