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Simplifying x + 6(x + 3) = 2(5x + 59) Reorder the terms: x + 6(3 + x) = 2(5x + 59) x + (3 * 6 + x * 6) = 2(5x + 59) x + (18 + 6x) = 2(5x + 59) Reorder the terms: 18 + x + 6x = 2(5x + 59) Combine like terms: x + 6x = 7x 18 + 7x = 2(5x + 59) Reorder the terms: 18 + 7x = 2(59 + 5x) 18 + 7x = (59 * 2 + 5x * 2) 18 + 7x = (118 + 10x) Solving 18 + 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. 18 + 7x + -10x = 118 + 10x + -10x Combine like terms: 7x + -10x = -3x 18 + -3x = 118 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -3x = 118 + 0 18 + -3x = 118 Add '-18' to each side of the equation. 18 + -18 + -3x = 118 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = 118 + -18 -3x = 118 + -18 Combine like terms: 118 + -18 = 100 -3x = 100 Divide each side by '-3'. x = -33.33333333 Simplifying x = -33.33333333
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