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Simplifying 17x + -45 + 3(3 + -3x) = (2x + -7) + -3(3x + -7) 17x + -45 + (3 * 3 + -3x * 3) = (2x + -7) + -3(3x + -7) 17x + -45 + (9 + -9x) = (2x + -7) + -3(3x + -7) Reorder the terms: -45 + 9 + 17x + -9x = (2x + -7) + -3(3x + -7) Combine like terms: -45 + 9 = -36 -36 + 17x + -9x = (2x + -7) + -3(3x + -7) Combine like terms: 17x + -9x = 8x -36 + 8x = (2x + -7) + -3(3x + -7) Reorder the terms: -36 + 8x = (-7 + 2x) + -3(3x + -7) Remove parenthesis around (-7 + 2x) -36 + 8x = -7 + 2x + -3(3x + -7) Reorder the terms: -36 + 8x = -7 + 2x + -3(-7 + 3x) -36 + 8x = -7 + 2x + (-7 * -3 + 3x * -3) -36 + 8x = -7 + 2x + (21 + -9x) Reorder the terms: -36 + 8x = -7 + 21 + 2x + -9x Combine like terms: -7 + 21 = 14 -36 + 8x = 14 + 2x + -9x Combine like terms: 2x + -9x = -7x -36 + 8x = 14 + -7x Solving -36 + 8x = 14 + -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. -36 + 8x + 7x = 14 + -7x + 7x Combine like terms: 8x + 7x = 15x -36 + 15x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 -36 + 15x = 14 + 0 -36 + 15x = 14 Add '36' to each side of the equation. -36 + 36 + 15x = 14 + 36 Combine like terms: -36 + 36 = 0 0 + 15x = 14 + 36 15x = 14 + 36 Combine like terms: 14 + 36 = 50 15x = 50 Divide each side by '15'. x = 3.333333333 Simplifying x = 3.333333333
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