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Simplifying -7[7x + -4 + -5(x + 1)] = 5x + -7 Reorder the terms: -7[7x + -4 + -5(1 + x)] = 5x + -7 -7[7x + -4 + (1 * -5 + x * -5)] = 5x + -7 -7[7x + -4 + (-5 + -5x)] = 5x + -7 Reorder the terms: -7[-4 + -5 + 7x + -5x] = 5x + -7 Combine like terms: -4 + -5 = -9 -7[-9 + 7x + -5x] = 5x + -7 Combine like terms: 7x + -5x = 2x -7[-9 + 2x] = 5x + -7 [-9 * -7 + 2x * -7] = 5x + -7 [63 + -14x] = 5x + -7 Reorder the terms: 63 + -14x = -7 + 5x Solving 63 + -14x = -7 + 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. 63 + -14x + -5x = -7 + 5x + -5x Combine like terms: -14x + -5x = -19x 63 + -19x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 63 + -19x = -7 + 0 63 + -19x = -7 Add '-63' to each side of the equation. 63 + -63 + -19x = -7 + -63 Combine like terms: 63 + -63 = 0 0 + -19x = -7 + -63 -19x = -7 + -63 Combine like terms: -7 + -63 = -70 -19x = -70 Divide each side by '-19'. x = 3.684210526 Simplifying x = 3.684210526
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