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Simplifying 5x + 6(x + -7) = 5(x + -6) Reorder the terms: 5x + 6(-7 + x) = 5(x + -6) 5x + (-7 * 6 + x * 6) = 5(x + -6) 5x + (-42 + 6x) = 5(x + -6) Reorder the terms: -42 + 5x + 6x = 5(x + -6) Combine like terms: 5x + 6x = 11x -42 + 11x = 5(x + -6) Reorder the terms: -42 + 11x = 5(-6 + x) -42 + 11x = (-6 * 5 + x * 5) -42 + 11x = (-30 + 5x) Solving -42 + 11x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -42 + 11x + -5x = -30 + 5x + -5x Combine like terms: 11x + -5x = 6x -42 + 6x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 6x = -30 + 0 -42 + 6x = -30 Add '42' to each side of the equation. -42 + 42 + 6x = -30 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = -30 + 42 6x = -30 + 42 Combine like terms: -30 + 42 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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