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Simplifying 7x + -1(3x + 6) = 5x + -35 Reorder the terms: 7x + -1(6 + 3x) = 5x + -35 7x + (6 * -1 + 3x * -1) = 5x + -35 7x + (-6 + -3x) = 5x + -35 Reorder the terms: -6 + 7x + -3x = 5x + -35 Combine like terms: 7x + -3x = 4x -6 + 4x = 5x + -35 Reorder the terms: -6 + 4x = -35 + 5x Solving -6 + 4x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 4x + -5x = -35 + 5x + -5x Combine like terms: 4x + -5x = -1x -6 + -1x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -1x = -35 + 0 -6 + -1x = -35 Add '6' to each side of the equation. -6 + 6 + -1x = -35 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -35 + 6 -1x = -35 + 6 Combine like terms: -35 + 6 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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