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Simplifying 17x + -45 + 3(3 + -3x) = 2(12x + -7) + -3(-3x + -7) 17x + -45 + (3 * 3 + -3x * 3) = 2(12x + -7) + -3(-3x + -7) 17x + -45 + (9 + -9x) = 2(12x + -7) + -3(-3x + -7) Reorder the terms: -45 + 9 + 17x + -9x = 2(12x + -7) + -3(-3x + -7) Combine like terms: -45 + 9 = -36 -36 + 17x + -9x = 2(12x + -7) + -3(-3x + -7) Combine like terms: 17x + -9x = 8x -36 + 8x = 2(12x + -7) + -3(-3x + -7) Reorder the terms: -36 + 8x = 2(-7 + 12x) + -3(-3x + -7) -36 + 8x = (-7 * 2 + 12x * 2) + -3(-3x + -7) -36 + 8x = (-14 + 24x) + -3(-3x + -7) Reorder the terms: -36 + 8x = -14 + 24x + -3(-7 + -3x) -36 + 8x = -14 + 24x + (-7 * -3 + -3x * -3) -36 + 8x = -14 + 24x + (21 + 9x) Reorder the terms: -36 + 8x = -14 + 21 + 24x + 9x Combine like terms: -14 + 21 = 7 -36 + 8x = 7 + 24x + 9x Combine like terms: 24x + 9x = 33x -36 + 8x = 7 + 33x Solving -36 + 8x = 7 + 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. -36 + 8x + -33x = 7 + 33x + -33x Combine like terms: 8x + -33x = -25x -36 + -25x = 7 + 33x + -33x Combine like terms: 33x + -33x = 0 -36 + -25x = 7 + 0 -36 + -25x = 7 Add '36' to each side of the equation. -36 + 36 + -25x = 7 + 36 Combine like terms: -36 + 36 = 0 0 + -25x = 7 + 36 -25x = 7 + 36 Combine like terms: 7 + 36 = 43 -25x = 43 Divide each side by '-25'. x = -1.72 Simplifying x = -1.72
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