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Simplifying 3x + -7(x + 5) = 4 + -1(x + 6) Reorder the terms: 3x + -7(5 + x) = 4 + -1(x + 6) 3x + (5 * -7 + x * -7) = 4 + -1(x + 6) 3x + (-35 + -7x) = 4 + -1(x + 6) Reorder the terms: -35 + 3x + -7x = 4 + -1(x + 6) Combine like terms: 3x + -7x = -4x -35 + -4x = 4 + -1(x + 6) Reorder the terms: -35 + -4x = 4 + -1(6 + x) -35 + -4x = 4 + (6 * -1 + x * -1) -35 + -4x = 4 + (-6 + -1x) Combine like terms: 4 + -6 = -2 -35 + -4x = -2 + -1x Solving -35 + -4x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -35 + -4x + x = -2 + -1x + x Combine like terms: -4x + x = -3x -35 + -3x = -2 + -1x + x Combine like terms: -1x + x = 0 -35 + -3x = -2 + 0 -35 + -3x = -2 Add '35' to each side of the equation. -35 + 35 + -3x = -2 + 35 Combine like terms: -35 + 35 = 0 0 + -3x = -2 + 35 -3x = -2 + 35 Combine like terms: -2 + 35 = 33 -3x = 33 Divide each side by '-3'. x = -11 Simplifying x = -11
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