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Simplifying 7(2x + -6) = 5(x + -6) Reorder the terms: 7(-6 + 2x) = 5(x + -6) (-6 * 7 + 2x * 7) = 5(x + -6) (-42 + 14x) = 5(x + -6) Reorder the terms: -42 + 14x = 5(-6 + x) -42 + 14x = (-6 * 5 + x * 5) -42 + 14x = (-30 + 5x) Solving -42 + 14x = -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 + 14x + -5x = -30 + 5x + -5x Combine like terms: 14x + -5x = 9x -42 + 9x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -42 + 9x = -30 + 0 -42 + 9x = -30 Add '42' to each side of the equation. -42 + 42 + 9x = -30 + 42 Combine like terms: -42 + 42 = 0 0 + 9x = -30 + 42 9x = -30 + 42 Combine like terms: -30 + 42 = 12 9x = 12 Divide each side by '9'. x = 1.333333333 Simplifying x = 1.333333333
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