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Simplifying 3[2x + -4] + 5[x + 1] = 37 Reorder the terms: 3[-4 + 2x] + 5[x + 1] = 37 [-4 * 3 + 2x * 3] + 5[x + 1] = 37 [-12 + 6x] + 5[x + 1] = 37 Reorder the terms: -12 + 6x + 5[1 + x] = 37 -12 + 6x + [1 * 5 + x * 5] = 37 -12 + 6x + [5 + 5x] = 37 Reorder the terms: -12 + 5 + 6x + 5x = 37 Combine like terms: -12 + 5 = -7 -7 + 6x + 5x = 37 Combine like terms: 6x + 5x = 11x -7 + 11x = 37 Solving -7 + 11x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 11x = 37 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 37 + 7 11x = 37 + 7 Combine like terms: 37 + 7 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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