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Simplifying 5(x + -6) + 5 = 3(x + -7) Reorder the terms: 5(-6 + x) + 5 = 3(x + -7) (-6 * 5 + x * 5) + 5 = 3(x + -7) (-30 + 5x) + 5 = 3(x + -7) Reorder the terms: -30 + 5 + 5x = 3(x + -7) Combine like terms: -30 + 5 = -25 -25 + 5x = 3(x + -7) Reorder the terms: -25 + 5x = 3(-7 + x) -25 + 5x = (-7 * 3 + x * 3) -25 + 5x = (-21 + 3x) Solving -25 + 5x = -21 + 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. -25 + 5x + -3x = -21 + 3x + -3x Combine like terms: 5x + -3x = 2x -25 + 2x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 2x = -21 + 0 -25 + 2x = -21 Add '25' to each side of the equation. -25 + 25 + 2x = -21 + 25 Combine like terms: -25 + 25 = 0 0 + 2x = -21 + 25 2x = -21 + 25 Combine like terms: -21 + 25 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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