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Simplifying 5(1x + 11 + 2x) = 5(29 + -6x) Reorder the terms: 5(11 + 1x + 2x) = 5(29 + -6x) Combine like terms: 1x + 2x = 3x 5(11 + 3x) = 5(29 + -6x) (11 * 5 + 3x * 5) = 5(29 + -6x) (55 + 15x) = 5(29 + -6x) 55 + 15x = (29 * 5 + -6x * 5) 55 + 15x = (145 + -30x) Solving 55 + 15x = 145 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 55 + 15x + 30x = 145 + -30x + 30x Combine like terms: 15x + 30x = 45x 55 + 45x = 145 + -30x + 30x Combine like terms: -30x + 30x = 0 55 + 45x = 145 + 0 55 + 45x = 145 Add '-55' to each side of the equation. 55 + -55 + 45x = 145 + -55 Combine like terms: 55 + -55 = 0 0 + 45x = 145 + -55 45x = 145 + -55 Combine like terms: 145 + -55 = 90 45x = 90 Divide each side by '45'. x = 2 Simplifying x = 2
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