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Simplifying 6x + -1(2x + 9) = 6x + -35 Reorder the terms: 6x + -1(9 + 2x) = 6x + -35 6x + (9 * -1 + 2x * -1) = 6x + -35 6x + (-9 + -2x) = 6x + -35 Reorder the terms: -9 + 6x + -2x = 6x + -35 Combine like terms: 6x + -2x = 4x -9 + 4x = 6x + -35 Reorder the terms: -9 + 4x = -35 + 6x Solving -9 + 4x = -35 + 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. -9 + 4x + -6x = -35 + 6x + -6x Combine like terms: 4x + -6x = -2x -9 + -2x = -35 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -2x = -35 + 0 -9 + -2x = -35 Add '9' to each side of the equation. -9 + 9 + -2x = -35 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = -35 + 9 -2x = -35 + 9 Combine like terms: -35 + 9 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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