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Simplifying 7[-2x + 4 + -5(x + 1)] = 3x + 1 Reorder the terms: 7[-2x + 4 + -5(1 + x)] = 3x + 1 7[-2x + 4 + (1 * -5 + x * -5)] = 3x + 1 7[-2x + 4 + (-5 + -5x)] = 3x + 1 Reorder the terms: 7[4 + -5 + -2x + -5x] = 3x + 1 Combine like terms: 4 + -5 = -1 7[-1 + -2x + -5x] = 3x + 1 Combine like terms: -2x + -5x = -7x 7[-1 + -7x] = 3x + 1 [-1 * 7 + -7x * 7] = 3x + 1 [-7 + -49x] = 3x + 1 Reorder the terms: -7 + -49x = 1 + 3x Solving -7 + -49x = 1 + 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. -7 + -49x + -3x = 1 + 3x + -3x Combine like terms: -49x + -3x = -52x -7 + -52x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -52x = 1 + 0 -7 + -52x = 1 Add '7' to each side of the equation. -7 + 7 + -52x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -52x = 1 + 7 -52x = 1 + 7 Combine like terms: 1 + 7 = 8 -52x = 8 Divide each side by '-52'. x = -0.1538461538 Simplifying x = -0.1538461538
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