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Simplifying 2(4x + 25) + -2x = -2(x + -5) Reorder the terms: 2(25 + 4x) + -2x = -2(x + -5) (25 * 2 + 4x * 2) + -2x = -2(x + -5) (50 + 8x) + -2x = -2(x + -5) Combine like terms: 8x + -2x = 6x 50 + 6x = -2(x + -5) Reorder the terms: 50 + 6x = -2(-5 + x) 50 + 6x = (-5 * -2 + x * -2) 50 + 6x = (10 + -2x) Solving 50 + 6x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 50 + 6x + 2x = 10 + -2x + 2x Combine like terms: 6x + 2x = 8x 50 + 8x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 50 + 8x = 10 + 0 50 + 8x = 10 Add '-50' to each side of the equation. 50 + -50 + 8x = 10 + -50 Combine like terms: 50 + -50 = 0 0 + 8x = 10 + -50 8x = 10 + -50 Combine like terms: 10 + -50 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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