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Simplifying 8(x + 5) = -7(-12 + -5) + 5 Reorder the terms: 8(5 + x) = -7(-12 + -5) + 5 (5 * 8 + x * 8) = -7(-12 + -5) + 5 (40 + 8x) = -7(-12 + -5) + 5 Combine like terms: -12 + -5 = -17 40 + 8x = -7(-17) + 5 Multiply -7 * -17 40 + 8x = 119 + 5 Combine like terms: 119 + 5 = 124 40 + 8x = 124 Solving 40 + 8x = 124 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 8x = 124 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = 124 + -40 8x = 124 + -40 Combine like terms: 124 + -40 = 84 8x = 84 Divide each side by '8'. x = 10.5 Simplifying x = 10.5
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