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Simplifying 3x + -7 + -7(x + 1) = -1(6x + 3) Reorder the terms: 3x + -7 + -7(1 + x) = -1(6x + 3) 3x + -7 + (1 * -7 + x * -7) = -1(6x + 3) 3x + -7 + (-7 + -7x) = -1(6x + 3) Reorder the terms: -7 + -7 + 3x + -7x = -1(6x + 3) Combine like terms: -7 + -7 = -14 -14 + 3x + -7x = -1(6x + 3) Combine like terms: 3x + -7x = -4x -14 + -4x = -1(6x + 3) Reorder the terms: -14 + -4x = -1(3 + 6x) -14 + -4x = (3 * -1 + 6x * -1) -14 + -4x = (-3 + -6x) Solving -14 + -4x = -3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -14 + -4x + 6x = -3 + -6x + 6x Combine like terms: -4x + 6x = 2x -14 + 2x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 -14 + 2x = -3 + 0 -14 + 2x = -3 Add '14' to each side of the equation. -14 + 14 + 2x = -3 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -3 + 14 2x = -3 + 14 Combine like terms: -3 + 14 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5
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