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Simplifying 2[2x + -4] + 5[x + 1] = 37 Reorder the terms: 2[-4 + 2x] + 5[x + 1] = 37 [-4 * 2 + 2x * 2] + 5[x + 1] = 37 [-8 + 4x] + 5[x + 1] = 37 Reorder the terms: -8 + 4x + 5[1 + x] = 37 -8 + 4x + [1 * 5 + x * 5] = 37 -8 + 4x + [5 + 5x] = 37 Reorder the terms: -8 + 5 + 4x + 5x = 37 Combine like terms: -8 + 5 = -3 -3 + 4x + 5x = 37 Combine like terms: 4x + 5x = 9x -3 + 9x = 37 Solving -3 + 9x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 9x = 37 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 37 + 3 9x = 37 + 3 Combine like terms: 37 + 3 = 40 9x = 40 Divide each side by '9'. x = 4.444444444 Simplifying x = 4.444444444
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