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Simplifying 5[2x + -3(x + 4)] = 17 Reorder the terms: 5[2x + -3(4 + x)] = 17 5[2x + (4 * -3 + x * -3)] = 17 5[2x + (-12 + -3x)] = 17 Reorder the terms: 5[-12 + 2x + -3x] = 17 Combine like terms: 2x + -3x = -1x 5[-12 + -1x] = 17 [-12 * 5 + -1x * 5] = 17 [-60 + -5x] = 17 Solving -60 + -5x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -5x = 17 + 60 Combine like terms: -60 + 60 = 0 0 + -5x = 17 + 60 -5x = 17 + 60 Combine like terms: 17 + 60 = 77 -5x = 77 Divide each side by '-5'. x = -15.4 Simplifying x = -15.4
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