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Simplifying 11[x + -5] = 10[x + 5] Reorder the terms: 11[-5 + x] = 10[x + 5] [-5 * 11 + x * 11] = 10[x + 5] [-55 + 11x] = 10[x + 5] Reorder the terms: -55 + 11x = 10[5 + x] -55 + 11x = [5 * 10 + x * 10] -55 + 11x = [50 + 10x] Solving -55 + 11x = 50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -55 + 11x + -10x = 50 + 10x + -10x Combine like terms: 11x + -10x = 1x -55 + 1x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 -55 + 1x = 50 + 0 -55 + 1x = 50 Add '55' to each side of the equation. -55 + 55 + 1x = 50 + 55 Combine like terms: -55 + 55 = 0 0 + 1x = 50 + 55 1x = 50 + 55 Combine like terms: 50 + 55 = 105 1x = 105 Divide each side by '1'. x = 105 Simplifying x = 105
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