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Simplifying -50 + 2(4 + -2x) = -3(3x + 5) + 14 -50 + (4 * 2 + -2x * 2) = -3(3x + 5) + 14 -50 + (8 + -4x) = -3(3x + 5) + 14 Combine like terms: -50 + 8 = -42 -42 + -4x = -3(3x + 5) + 14 Reorder the terms: -42 + -4x = -3(5 + 3x) + 14 -42 + -4x = (5 * -3 + 3x * -3) + 14 -42 + -4x = (-15 + -9x) + 14 Reorder the terms: -42 + -4x = -15 + 14 + -9x Combine like terms: -15 + 14 = -1 -42 + -4x = -1 + -9x Solving -42 + -4x = -1 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -42 + -4x + 9x = -1 + -9x + 9x Combine like terms: -4x + 9x = 5x -42 + 5x = -1 + -9x + 9x Combine like terms: -9x + 9x = 0 -42 + 5x = -1 + 0 -42 + 5x = -1 Add '42' to each side of the equation. -42 + 42 + 5x = -1 + 42 Combine like terms: -42 + 42 = 0 0 + 5x = -1 + 42 5x = -1 + 42 Combine like terms: -1 + 42 = 41 5x = 41 Divide each side by '5'. x = 8.2 Simplifying x = 8.2
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