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Simplifying (-5)(2x + 3x) + -17 = -3(6x + 8x) Combine like terms: 2x + 3x = 5x -5(5x) + -17 = -3(6x + 8x) Remove parenthesis around (5x) -5 * 5x + -17 = -3(6x + 8x) Multiply -5 * 5 -25x + -17 = -3(6x + 8x) Reorder the terms: -17 + -25x = -3(6x + 8x) Combine like terms: 6x + 8x = 14x -17 + -25x = -3(14x) Remove parenthesis around (14x) -17 + -25x = -3 * 14x Multiply -3 * 14 -17 + -25x = -42x Solving -17 + -25x = -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -17 + -25x + 42x = -42x + 42x Combine like terms: -25x + 42x = 17x -17 + 17x = -42x + 42x Combine like terms: -42x + 42x = 0 -17 + 17x = 0 Add '17' to each side of the equation. -17 + 17 + 17x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 17x = 0 + 17 17x = 0 + 17 Combine like terms: 0 + 17 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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