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Simplifying 3x + -5 + -7(x + 1) = -1(6x + 3) Reorder the terms: 3x + -5 + -7(1 + x) = -1(6x + 3) 3x + -5 + (1 * -7 + x * -7) = -1(6x + 3) 3x + -5 + (-7 + -7x) = -1(6x + 3) Reorder the terms: -5 + -7 + 3x + -7x = -1(6x + 3) Combine like terms: -5 + -7 = -12 -12 + 3x + -7x = -1(6x + 3) Combine like terms: 3x + -7x = -4x -12 + -4x = -1(6x + 3) Reorder the terms: -12 + -4x = -1(3 + 6x) -12 + -4x = (3 * -1 + 6x * -1) -12 + -4x = (-3 + -6x) Solving -12 + -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. -12 + -4x + 6x = -3 + -6x + 6x Combine like terms: -4x + 6x = 2x -12 + 2x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 2x = -3 + 0 -12 + 2x = -3 Add '12' to each side of the equation. -12 + 12 + 2x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -3 + 12 2x = -3 + 12 Combine like terms: -3 + 12 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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