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Simplifying 7[-5x + 2 + -6(x + 1)] = 3x + -6 Reorder the terms: 7[-5x + 2 + -6(1 + x)] = 3x + -6 7[-5x + 2 + (1 * -6 + x * -6)] = 3x + -6 7[-5x + 2 + (-6 + -6x)] = 3x + -6 Reorder the terms: 7[2 + -6 + -5x + -6x] = 3x + -6 Combine like terms: 2 + -6 = -4 7[-4 + -5x + -6x] = 3x + -6 Combine like terms: -5x + -6x = -11x 7[-4 + -11x] = 3x + -6 [-4 * 7 + -11x * 7] = 3x + -6 [-28 + -77x] = 3x + -6 Reorder the terms: -28 + -77x = -6 + 3x Solving -28 + -77x = -6 + 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. -28 + -77x + -3x = -6 + 3x + -3x Combine like terms: -77x + -3x = -80x -28 + -80x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + -80x = -6 + 0 -28 + -80x = -6 Add '28' to each side of the equation. -28 + 28 + -80x = -6 + 28 Combine like terms: -28 + 28 = 0 0 + -80x = -6 + 28 -80x = -6 + 28 Combine like terms: -6 + 28 = 22 -80x = 22 Divide each side by '-80'. x = -0.275 Simplifying x = -0.275
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