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Simplifying -35 + -3x = 5(2x + -3) + 6 Reorder the terms: -35 + -3x = 5(-3 + 2x) + 6 -35 + -3x = (-3 * 5 + 2x * 5) + 6 -35 + -3x = (-15 + 10x) + 6 Reorder the terms: -35 + -3x = -15 + 6 + 10x Combine like terms: -15 + 6 = -9 -35 + -3x = -9 + 10x Solving -35 + -3x = -9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -35 + -3x + -10x = -9 + 10x + -10x Combine like terms: -3x + -10x = -13x -35 + -13x = -9 + 10x + -10x Combine like terms: 10x + -10x = 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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