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Simplifying 5x + -1[2(x + -10) + 3] = 8 Reorder the terms: 5x + -1[2(-10 + x) + 3] = 8 5x + -1[(-10 * 2 + x * 2) + 3] = 8 5x + -1[(-20 + 2x) + 3] = 8 Reorder the terms: 5x + -1[-20 + 3 + 2x] = 8 Combine like terms: -20 + 3 = -17 5x + -1[-17 + 2x] = 8 5x + [-17 * -1 + 2x * -1] = 8 5x + [17 + -2x] = 8 Reorder the terms: 17 + 5x + -2x = 8 Combine like terms: 5x + -2x = 3x 17 + 3x = 8 Solving 17 + 3x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3x = 8 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 8 + -17 3x = 8 + -17 Combine like terms: 8 + -17 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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