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Simplifying (2x + -14 + 3(3x + -4)) = (9x + 2(9 + -1x)) Reorder the terms: (2x + -14 + 3(-4 + 3x)) = (9x + 2(9 + -1x)) (2x + -14 + (-4 * 3 + 3x * 3)) = (9x + 2(9 + -1x)) (2x + -14 + (-12 + 9x)) = (9x + 2(9 + -1x)) Reorder the terms: (-14 + -12 + 2x + 9x) = (9x + 2(9 + -1x)) Combine like terms: -14 + -12 = -26 (-26 + 2x + 9x) = (9x + 2(9 + -1x)) Combine like terms: 2x + 9x = 11x (-26 + 11x) = (9x + 2(9 + -1x)) Remove parenthesis around (-26 + 11x) -26 + 11x = (9x + 2(9 + -1x)) -26 + 11x = (9x + (9 * 2 + -1x * 2)) -26 + 11x = (9x + (18 + -2x)) Reorder the terms: -26 + 11x = (18 + 9x + -2x) Combine like terms: 9x + -2x = 7x -26 + 11x = (18 + 7x) Remove parenthesis around (18 + 7x) -26 + 11x = 18 + 7x Solving -26 + 11x = 18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -26 + 11x + -7x = 18 + 7x + -7x Combine like terms: 11x + -7x = 4x -26 + 4x = 18 + 7x + -7x Combine like terms: 7x + -7x = 0 -26 + 4x = 18 + 0 -26 + 4x = 18 Add '26' to each side of the equation. -26 + 26 + 4x = 18 + 26 Combine like terms: -26 + 26 = 0 0 + 4x = 18 + 26 4x = 18 + 26 Combine like terms: 18 + 26 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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