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Simplifying 6[x + -5] = 5[x + 5] Reorder the terms: 6[-5 + x] = 5[x + 5] [-5 * 6 + x * 6] = 5[x + 5] [-30 + 6x] = 5[x + 5] Reorder the terms: -30 + 6x = 5[5 + x] -30 + 6x = [5 * 5 + x * 5] -30 + 6x = [25 + 5x] Solving -30 + 6x = 25 + 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. -30 + 6x + -5x = 25 + 5x + -5x Combine like terms: 6x + -5x = 1x -30 + 1x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 1x = 25 + 0 -30 + 1x = 25 Add '30' to each side of the equation. -30 + 30 + 1x = 25 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = 25 + 30 1x = 25 + 30 Combine like terms: 25 + 30 = 55 1x = 55 Divide each side by '1'. x = 55 Simplifying x = 55
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