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Simplifying 6[x + 5] = 10 + -1[x + -20] Reorder the terms: 6[5 + x] = 10 + -1[x + -20] [5 * 6 + x * 6] = 10 + -1[x + -20] [30 + 6x] = 10 + -1[x + -20] Reorder the terms: 30 + 6x = 10 + -1[-20 + x] 30 + 6x = 10 + [-20 * -1 + x * -1] 30 + 6x = 10 + [20 + -1x] Combine like terms: 10 + 20 = 30 30 + 6x = 30 + -1x Add '-30' to each side of the equation. 30 + -30 + 6x = 30 + -30 + -1x Combine like terms: 30 + -30 = 0 0 + 6x = 30 + -30 + -1x 6x = 30 + -30 + -1x Combine like terms: 30 + -30 = 0 6x = 0 + -1x 6x = -1x Solving 6x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6x + x = -1x + x Combine like terms: 6x + x = 7x 7x = -1x + x Combine like terms: -1x + x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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