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Simplifying -7(x + 4) + -17 = 15 + 3 Reorder the terms: -7(4 + x) + -17 = 15 + 3 (4 * -7 + x * -7) + -17 = 15 + 3 (-28 + -7x) + -17 = 15 + 3 Reorder the terms: -28 + -17 + -7x = 15 + 3 Combine like terms: -28 + -17 = -45 -45 + -7x = 15 + 3 Combine like terms: 15 + 3 = 18 -45 + -7x = 18 Solving -45 + -7x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -7x = 18 + 45 Combine like terms: -45 + 45 = 0 0 + -7x = 18 + 45 -7x = 18 + 45 Combine like terms: 18 + 45 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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