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Simplifying -50 = -2(-3x + 5) + 2(8x + 2) Reorder the terms: -50 = -2(5 + -3x) + 2(8x + 2) -50 = (5 * -2 + -3x * -2) + 2(8x + 2) -50 = (-10 + 6x) + 2(8x + 2) Reorder the terms: -50 = -10 + 6x + 2(2 + 8x) -50 = -10 + 6x + (2 * 2 + 8x * 2) -50 = -10 + 6x + (4 + 16x) Reorder the terms: -50 = -10 + 4 + 6x + 16x Combine like terms: -10 + 4 = -6 -50 = -6 + 6x + 16x Combine like terms: 6x + 16x = 22x -50 = -6 + 22x Solving -50 = -6 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -50 + -22x = -6 + 22x + -22x Combine like terms: 22x + -22x = 0 -50 + -22x = -6 + 0 -50 + -22x = -6 Add '50' to each side of the equation. -50 + 50 + -22x = -6 + 50 Combine like terms: -50 + 50 = 0 0 + -22x = -6 + 50 -22x = -6 + 50 Combine like terms: -6 + 50 = 44 -22x = 44 Divide each side by '-22'. x = -2 Simplifying x = -2
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