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Simplifying -2x + -35(x + 3) = -6(6x + 9) Reorder the terms: -2x + -35(3 + x) = -6(6x + 9) -2x + (3 * -35 + x * -35) = -6(6x + 9) -2x + (-105 + -35x) = -6(6x + 9) Reorder the terms: -105 + -2x + -35x = -6(6x + 9) Combine like terms: -2x + -35x = -37x -105 + -37x = -6(6x + 9) Reorder the terms: -105 + -37x = -6(9 + 6x) -105 + -37x = (9 * -6 + 6x * -6) -105 + -37x = (-54 + -36x) Solving -105 + -37x = -54 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -105 + -37x + 36x = -54 + -36x + 36x Combine like terms: -37x + 36x = -1x -105 + -1x = -54 + -36x + 36x Combine like terms: -36x + 36x = 0 -105 + -1x = -54 + 0 -105 + -1x = -54 Add '105' to each side of the equation. -105 + 105 + -1x = -54 + 105 Combine like terms: -105 + 105 = 0 0 + -1x = -54 + 105 -1x = -54 + 105 Combine like terms: -54 + 105 = 51 -1x = 51 Divide each side by '-1'. x = -51 Simplifying x = -51
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