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Simplifying -7(x + 4) + -15 = 17 + 3 Reorder the terms: -7(4 + x) + -15 = 17 + 3 (4 * -7 + x * -7) + -15 = 17 + 3 (-28 + -7x) + -15 = 17 + 3 Reorder the terms: -28 + -15 + -7x = 17 + 3 Combine like terms: -28 + -15 = -43 -43 + -7x = 17 + 3 Combine like terms: 17 + 3 = 20 -43 + -7x = 20 Solving -43 + -7x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -7x = 20 + 43 Combine like terms: -43 + 43 = 0 0 + -7x = 20 + 43 -7x = 20 + 43 Combine like terms: 20 + 43 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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