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Simplifying 6x + -2 + -3[x + -4] = 13 Reorder the terms: 6x + -2 + -3[-4 + x] = 13 6x + -2 + [-4 * -3 + x * -3] = 13 6x + -2 + [12 + -3x] = 13 Reorder the terms: -2 + 12 + 6x + -3x = 13 Combine like terms: -2 + 12 = 10 10 + 6x + -3x = 13 Combine like terms: 6x + -3x = 3x 10 + 3x = 13 Solving 10 + 3x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 13 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 13 + -10 3x = 13 + -10 Combine like terms: 13 + -10 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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