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Simplifying 3(x + -3) + -35 = -5x + 2(x + -7) Reorder the terms: 3(-3 + x) + -35 = -5x + 2(x + -7) (-3 * 3 + x * 3) + -35 = -5x + 2(x + -7) (-9 + 3x) + -35 = -5x + 2(x + -7) Reorder the terms: -9 + -35 + 3x = -5x + 2(x + -7) Combine like terms: -9 + -35 = -44 -44 + 3x = -5x + 2(x + -7) Reorder the terms: -44 + 3x = -5x + 2(-7 + x) -44 + 3x = -5x + (-7 * 2 + x * 2) -44 + 3x = -5x + (-14 + 2x) Reorder the terms: -44 + 3x = -14 + -5x + 2x Combine like terms: -5x + 2x = -3x -44 + 3x = -14 + -3x Solving -44 + 3x = -14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -44 + 3x + 3x = -14 + -3x + 3x Combine like terms: 3x + 3x = 6x -44 + 6x = -14 + -3x + 3x Combine like terms: -3x + 3x = 0 -44 + 6x = -14 + 0 -44 + 6x = -14 Add '44' to each side of the equation. -44 + 44 + 6x = -14 + 44 Combine like terms: -44 + 44 = 0 0 + 6x = -14 + 44 6x = -14 + 44 Combine like terms: -14 + 44 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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