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Simplifying 2(52 + -4x) + 2(5x + -8) = 98 (52 * 2 + -4x * 2) + 2(5x + -8) = 98 (104 + -8x) + 2(5x + -8) = 98 Reorder the terms: 104 + -8x + 2(-8 + 5x) = 98 104 + -8x + (-8 * 2 + 5x * 2) = 98 104 + -8x + (-16 + 10x) = 98 Reorder the terms: 104 + -16 + -8x + 10x = 98 Combine like terms: 104 + -16 = 88 88 + -8x + 10x = 98 Combine like terms: -8x + 10x = 2x 88 + 2x = 98 Solving 88 + 2x = 98 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-88' to each side of the equation. 88 + -88 + 2x = 98 + -88 Combine like terms: 88 + -88 = 0 0 + 2x = 98 + -88 2x = 98 + -88 Combine like terms: 98 + -88 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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