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Simplifying x + 6x + 49 = 2(5x + 59) Reorder the terms: 49 + x + 6x = 2(5x + 59) Combine like terms: x + 6x = 7x 49 + 7x = 2(5x + 59) Reorder the terms: 49 + 7x = 2(59 + 5x) 49 + 7x = (59 * 2 + 5x * 2) 49 + 7x = (118 + 10x) Solving 49 + 7x = 118 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 49 + 7x + -10x = 118 + 10x + -10x Combine like terms: 7x + -10x = -3x 49 + -3x = 118 + 10x + -10x Combine like terms: 10x + -10x = 0 49 + -3x = 118 + 0 49 + -3x = 118 Add '-49' to each side of the equation. 49 + -49 + -3x = 118 + -49 Combine like terms: 49 + -49 = 0 0 + -3x = 118 + -49 -3x = 118 + -49 Combine like terms: 118 + -49 = 69 -3x = 69 Divide each side by '-3'. x = -23 Simplifying x = -23
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