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Simplifying 290 = 2x + 2(3x + 5) Reorder the terms: 290 = 2x + 2(5 + 3x) 290 = 2x + (5 * 2 + 3x * 2) 290 = 2x + (10 + 6x) Reorder the terms: 290 = 10 + 2x + 6x Combine like terms: 2x + 6x = 8x 290 = 10 + 8x Solving 290 = 10 + 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. 290 + -8x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 290 + -8x = 10 + 0 290 + -8x = 10 Add '-290' to each side of the equation. 290 + -290 + -8x = 10 + -290 Combine like terms: 290 + -290 = 0 0 + -8x = 10 + -290 -8x = 10 + -290 Combine like terms: 10 + -290 = -280 -8x = -280 Divide each side by '-8'. x = 35 Simplifying x = 35
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