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Simplifying 6x + -1(9x + 5) = 7x + -35 Reorder the terms: 6x + -1(5 + 9x) = 7x + -35 6x + (5 * -1 + 9x * -1) = 7x + -35 6x + (-5 + -9x) = 7x + -35 Reorder the terms: -5 + 6x + -9x = 7x + -35 Combine like terms: 6x + -9x = -3x -5 + -3x = 7x + -35 Reorder the terms: -5 + -3x = -35 + 7x Solving -5 + -3x = -35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + -3x + -7x = -35 + 7x + -7x Combine like terms: -3x + -7x = -10x -5 + -10x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -10x = -35 + 0 -5 + -10x = -35 Add '5' to each side of the equation. -5 + 5 + -10x = -35 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = -35 + 5 -10x = -35 + 5 Combine like terms: -35 + 5 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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