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Simplifying 5(x + -6) + -5 = -7(-2x + 7) + -5x Reorder the terms: 5(-6 + x) + -5 = -7(-2x + 7) + -5x (-6 * 5 + x * 5) + -5 = -7(-2x + 7) + -5x (-30 + 5x) + -5 = -7(-2x + 7) + -5x Reorder the terms: -30 + -5 + 5x = -7(-2x + 7) + -5x Combine like terms: -30 + -5 = -35 -35 + 5x = -7(-2x + 7) + -5x Reorder the terms: -35 + 5x = -7(7 + -2x) + -5x -35 + 5x = (7 * -7 + -2x * -7) + -5x -35 + 5x = (-49 + 14x) + -5x Combine like terms: 14x + -5x = 9x -35 + 5x = -49 + 9x Solving -35 + 5x = -49 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -35 + 5x + -9x = -49 + 9x + -9x Combine like terms: 5x + -9x = -4x -35 + -4x = -49 + 9x + -9x Combine like terms: 9x + -9x = 0 -35 + -4x = -49 + 0 -35 + -4x = -49 Add '35' to each side of the equation. -35 + 35 + -4x = -49 + 35 Combine like terms: -35 + 35 = 0 0 + -4x = -49 + 35 -4x = -49 + 35 Combine like terms: -49 + 35 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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