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Simplifying (10x + 50) = 2(8x + -29) Reorder the terms: (50 + 10x) = 2(8x + -29) Remove parenthesis around (50 + 10x) 50 + 10x = 2(8x + -29) Reorder the terms: 50 + 10x = 2(-29 + 8x) 50 + 10x = (-29 * 2 + 8x * 2) 50 + 10x = (-58 + 16x) Solving 50 + 10x = -58 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 50 + 10x + -16x = -58 + 16x + -16x Combine like terms: 10x + -16x = -6x 50 + -6x = -58 + 16x + -16x Combine like terms: 16x + -16x = 0 50 + -6x = -58 + 0 50 + -6x = -58 Add '-50' to each side of the equation. 50 + -50 + -6x = -58 + -50 Combine like terms: 50 + -50 = 0 0 + -6x = -58 + -50 -6x = -58 + -50 Combine like terms: -58 + -50 = -108 -6x = -108 Divide each side by '-6'. x = 18 Simplifying x = 18
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