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Simplifying 2(x + 7) + -15 = -3(-4x + 2) + -17x Reorder the terms: 2(7 + x) + -15 = -3(-4x + 2) + -17x (7 * 2 + x * 2) + -15 = -3(-4x + 2) + -17x (14 + 2x) + -15 = -3(-4x + 2) + -17x Reorder the terms: 14 + -15 + 2x = -3(-4x + 2) + -17x Combine like terms: 14 + -15 = -1 -1 + 2x = -3(-4x + 2) + -17x Reorder the terms: -1 + 2x = -3(2 + -4x) + -17x -1 + 2x = (2 * -3 + -4x * -3) + -17x -1 + 2x = (-6 + 12x) + -17x Combine like terms: 12x + -17x = -5x -1 + 2x = -6 + -5x Solving -1 + 2x = -6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -1 + 2x + 5x = -6 + -5x + 5x Combine like terms: 2x + 5x = 7x -1 + 7x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 -1 + 7x = -6 + 0 -1 + 7x = -6 Add '1' to each side of the equation. -1 + 1 + 7x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = -6 + 1 7x = -6 + 1 Combine like terms: -6 + 1 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143
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