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Simplifying 7(x + 2) + -15 = 3x + -17 Reorder the terms: 7(2 + x) + -15 = 3x + -17 (2 * 7 + x * 7) + -15 = 3x + -17 (14 + 7x) + -15 = 3x + -17 Reorder the terms: 14 + -15 + 7x = 3x + -17 Combine like terms: 14 + -15 = -1 -1 + 7x = 3x + -17 Reorder the terms: -1 + 7x = -17 + 3x Solving -1 + 7x = -17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 7x + -3x = -17 + 3x + -3x Combine like terms: 7x + -3x = 4x -1 + 4x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 4x = -17 + 0 -1 + 4x = -17 Add '1' to each side of the equation. -1 + 1 + 4x = -17 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = -17 + 1 4x = -17 + 1 Combine like terms: -17 + 1 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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