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Simplifying 4[3(7x + -1) + -5(4x + 2)] = 5x + -47 Reorder the terms: 4[3(-1 + 7x) + -5(4x + 2)] = 5x + -47 4[(-1 * 3 + 7x * 3) + -5(4x + 2)] = 5x + -47 4[(-3 + 21x) + -5(4x + 2)] = 5x + -47 Reorder the terms: 4[-3 + 21x + -5(2 + 4x)] = 5x + -47 4[-3 + 21x + (2 * -5 + 4x * -5)] = 5x + -47 4[-3 + 21x + (-10 + -20x)] = 5x + -47 Reorder the terms: 4[-3 + -10 + 21x + -20x] = 5x + -47 Combine like terms: -3 + -10 = -13 4[-13 + 21x + -20x] = 5x + -47 Combine like terms: 21x + -20x = 1x 4[-13 + 1x] = 5x + -47 [-13 * 4 + 1x * 4] = 5x + -47 [-52 + 4x] = 5x + -47 Reorder the terms: -52 + 4x = -47 + 5x Solving -52 + 4x = -47 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -52 + 4x + -5x = -47 + 5x + -5x Combine like terms: 4x + -5x = -1x -52 + -1x = -47 + 5x + -5x Combine like terms: 5x + -5x = 0 -52 + -1x = -47 + 0 -52 + -1x = -47 Add '52' to each side of the equation. -52 + 52 + -1x = -47 + 52 Combine like terms: -52 + 52 = 0 0 + -1x = -47 + 52 -1x = -47 + 52 Combine like terms: -47 + 52 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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