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Simplifying -7(x + 3) + -17 = 10 + 8 Reorder the terms: -7(3 + x) + -17 = 10 + 8 (3 * -7 + x * -7) + -17 = 10 + 8 (-21 + -7x) + -17 = 10 + 8 Reorder the terms: -21 + -17 + -7x = 10 + 8 Combine like terms: -21 + -17 = -38 -38 + -7x = 10 + 8 Combine like terms: 10 + 8 = 18 -38 + -7x = 18 Solving -38 + -7x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -7x = 18 + 38 Combine like terms: -38 + 38 = 0 0 + -7x = 18 + 38 -7x = 18 + 38 Combine like terms: 18 + 38 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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