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Simplifying 3x + 4 + -7(x + 1) = -1(6x + -2) Reorder the terms: 3x + 4 + -7(1 + x) = -1(6x + -2) 3x + 4 + (1 * -7 + x * -7) = -1(6x + -2) 3x + 4 + (-7 + -7x) = -1(6x + -2) Reorder the terms: 4 + -7 + 3x + -7x = -1(6x + -2) Combine like terms: 4 + -7 = -3 -3 + 3x + -7x = -1(6x + -2) Combine like terms: 3x + -7x = -4x -3 + -4x = -1(6x + -2) Reorder the terms: -3 + -4x = -1(-2 + 6x) -3 + -4x = (-2 * -1 + 6x * -1) -3 + -4x = (2 + -6x) Solving -3 + -4x = 2 + -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. -3 + -4x + 6x = 2 + -6x + 6x Combine like terms: -4x + 6x = 2x -3 + 2x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 2x = 2 + 0 -3 + 2x = 2 Add '3' to each side of the equation. -3 + 3 + 2x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 2 + 3 2x = 2 + 3 Combine like terms: 2 + 3 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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