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Simplifying 5[3 + -2(x + -8)] = 5x + -1 Reorder the terms: 5[3 + -2(-8 + x)] = 5x + -1 5[3 + (-8 * -2 + x * -2)] = 5x + -1 5[3 + (16 + -2x)] = 5x + -1 Combine like terms: 3 + 16 = 19 5[19 + -2x] = 5x + -1 [19 * 5 + -2x * 5] = 5x + -1 [95 + -10x] = 5x + -1 Reorder the terms: 95 + -10x = -1 + 5x Solving 95 + -10x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 95 + -10x + -5x = -1 + 5x + -5x Combine like terms: -10x + -5x = -15x 95 + -15x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 95 + -15x = -1 + 0 95 + -15x = -1 Add '-95' to each side of the equation. 95 + -95 + -15x = -1 + -95 Combine like terms: 95 + -95 = 0 0 + -15x = -1 + -95 -15x = -1 + -95 Combine like terms: -1 + -95 = -96 -15x = -96 Divide each side by '-15'. x = 6.4 Simplifying x = 6.4
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