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Simplifying 2(7x + 3) + (6x + 11) + y = (33x + 18) Reorder the terms: 2(3 + 7x) + (6x + 11) + y = (33x + 18) (3 * 2 + 7x * 2) + (6x + 11) + y = (33x + 18) (6 + 14x) + (6x + 11) + y = (33x + 18) Reorder the terms: 6 + 14x + (11 + 6x) + y = (33x + 18) Remove parenthesis around (11 + 6x) 6 + 14x + 11 + 6x + y = (33x + 18) Reorder the terms: 6 + 11 + 14x + 6x + y = (33x + 18) Combine like terms: 6 + 11 = 17 17 + 14x + 6x + y = (33x + 18) Combine like terms: 14x + 6x = 20x 17 + 20x + y = (33x + 18) Reorder the terms: 17 + 20x + y = (18 + 33x) Remove parenthesis around (18 + 33x) 17 + 20x + y = 18 + 33x Solving 17 + 20x + y = 18 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. 17 + 20x + -33x + y = 18 + 33x + -33x Combine like terms: 20x + -33x = -13x 17 + -13x + y = 18 + 33x + -33x Combine like terms: 33x + -33x = 0 17 + -13x + y = 18 + 0 17 + -13x + y = 18 Add '-17' to each side of the equation. 17 + -13x + -17 + y = 18 + -17 Reorder the terms: 17 + -17 + -13x + y = 18 + -17 Combine like terms: 17 + -17 = 0 0 + -13x + y = 18 + -17 -13x + y = 18 + -17 Combine like terms: 18 + -17 = 1 -13x + y = 1 Add '-1y' to each side of the equation. -13x + y + -1y = 1 + -1y Combine like terms: y + -1y = 0 -13x + 0 = 1 + -1y -13x = 1 + -1y Divide each side by '-13'. x = -0.07692307692 + 0.07692307692y Simplifying x = -0.07692307692 + 0.07692307692y
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