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Simplifying 2[5x + -1] = 3[x + 11] Reorder the terms: 2[-1 + 5x] = 3[x + 11] [-1 * 2 + 5x * 2] = 3[x + 11] [-2 + 10x] = 3[x + 11] Reorder the terms: -2 + 10x = 3[11 + x] -2 + 10x = [11 * 3 + x * 3] -2 + 10x = [33 + 3x] Solving -2 + 10x = 33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 10x + -3x = 33 + 3x + -3x Combine like terms: 10x + -3x = 7x -2 + 7x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 7x = 33 + 0 -2 + 7x = 33 Add '2' to each side of the equation. -2 + 2 + 7x = 33 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 33 + 2 7x = 33 + 2 Combine like terms: 33 + 2 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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