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Simplifying 5[x + -2(x + -1)] = x + 13 Reorder the terms: 5[x + -2(-1 + x)] = x + 13 5[x + (-1 * -2 + x * -2)] = x + 13 5[x + (2 + -2x)] = x + 13 Reorder the terms: 5[2 + x + -2x] = x + 13 Combine like terms: x + -2x = -1x 5[2 + -1x] = x + 13 [2 * 5 + -1x * 5] = x + 13 [10 + -5x] = x + 13 Reorder the terms: 10 + -5x = 13 + x Solving 10 + -5x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + -5x + -1x = 13 + x + -1x Combine like terms: -5x + -1x = -6x 10 + -6x = 13 + x + -1x Combine like terms: x + -1x = 0 10 + -6x = 13 + 0 10 + -6x = 13 Add '-10' to each side of the equation. 10 + -10 + -6x = 13 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = 13 + -10 -6x = 13 + -10 Combine like terms: 13 + -10 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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