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Simplifying 6(2x + -7) = 5(5x + -11) Reorder the terms: 6(-7 + 2x) = 5(5x + -11) (-7 * 6 + 2x * 6) = 5(5x + -11) (-42 + 12x) = 5(5x + -11) Reorder the terms: -42 + 12x = 5(-11 + 5x) -42 + 12x = (-11 * 5 + 5x * 5) -42 + 12x = (-55 + 25x) Solving -42 + 12x = -55 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -42 + 12x + -25x = -55 + 25x + -25x Combine like terms: 12x + -25x = -13x -42 + -13x = -55 + 25x + -25x Combine like terms: 25x + -25x = 0 -42 + -13x = -55 + 0 -42 + -13x = -55 Add '42' to each side of the equation. -42 + 42 + -13x = -55 + 42 Combine like terms: -42 + 42 = 0 0 + -13x = -55 + 42 -13x = -55 + 42 Combine like terms: -55 + 42 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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