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Simplifying 3x + -5(7 + 2x) = 6x + -9 3x + (7 * -5 + 2x * -5) = 6x + -9 3x + (-35 + -10x) = 6x + -9 Reorder the terms: -35 + 3x + -10x = 6x + -9 Combine like terms: 3x + -10x = -7x -35 + -7x = 6x + -9 Reorder the terms: -35 + -7x = -9 + 6x Solving -35 + -7x = -9 + 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. -35 + -7x + -6x = -9 + 6x + -6x Combine like terms: -7x + -6x = -13x -35 + -13x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + -13x = -9 + 0 -35 + -13x = -9 Add '35' to each side of the equation. -35 + 35 + -13x = -9 + 35 Combine like terms: -35 + 35 = 0 0 + -13x = -9 + 35 -13x = -9 + 35 Combine like terms: -9 + 35 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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