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Simplifying -10(x + 5) + 66 = -7 + -17 Reorder the terms: -10(5 + x) + 66 = -7 + -17 (5 * -10 + x * -10) + 66 = -7 + -17 (-50 + -10x) + 66 = -7 + -17 Reorder the terms: -50 + 66 + -10x = -7 + -17 Combine like terms: -50 + 66 = 16 16 + -10x = -7 + -17 Combine like terms: -7 + -17 = -24 16 + -10x = -24 Solving 16 + -10x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -10x = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -10x = -24 + -16 -10x = -24 + -16 Combine like terms: -24 + -16 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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