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Simplifying 4x + -2(3x + -5) = 8x + -50 Reorder the terms: 4x + -2(-5 + 3x) = 8x + -50 4x + (-5 * -2 + 3x * -2) = 8x + -50 4x + (10 + -6x) = 8x + -50 Reorder the terms: 10 + 4x + -6x = 8x + -50 Combine like terms: 4x + -6x = -2x 10 + -2x = 8x + -50 Reorder the terms: 10 + -2x = -50 + 8x Solving 10 + -2x = -50 + 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 + -2x + -8x = -50 + 8x + -8x Combine like terms: -2x + -8x = -10x 10 + -10x = -50 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -10x = -50 + 0 10 + -10x = -50 Add '-10' to each side of the equation. 10 + -10 + -10x = -50 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = -50 + -10 -10x = -50 + -10 Combine like terms: -50 + -10 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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