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Simplifying -2(17x + -4) + 7(5x + -3) + -5 = 3 + -4 Reorder the terms: -2(-4 + 17x) + 7(5x + -3) + -5 = 3 + -4 (-4 * -2 + 17x * -2) + 7(5x + -3) + -5 = 3 + -4 (8 + -34x) + 7(5x + -3) + -5 = 3 + -4 Reorder the terms: 8 + -34x + 7(-3 + 5x) + -5 = 3 + -4 8 + -34x + (-3 * 7 + 5x * 7) + -5 = 3 + -4 8 + -34x + (-21 + 35x) + -5 = 3 + -4 Reorder the terms: 8 + -21 + -5 + -34x + 35x = 3 + -4 Combine like terms: 8 + -21 = -13 -13 + -5 + -34x + 35x = 3 + -4 Combine like terms: -13 + -5 = -18 -18 + -34x + 35x = 3 + -4 Combine like terms: -34x + 35x = 1x -18 + 1x = 3 + -4 Combine like terms: 3 + -4 = -1 -18 + 1x = -1 Solving -18 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1x = -1 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -1 + 18 1x = -1 + 18 Combine like terms: -1 + 18 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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