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Simplifying 6(3x + -7) = 7x + 13 Reorder the terms: 6(-7 + 3x) = 7x + 13 (-7 * 6 + 3x * 6) = 7x + 13 (-42 + 18x) = 7x + 13 Reorder the terms: -42 + 18x = 13 + 7x Solving -42 + 18x = 13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -42 + 18x + -7x = 13 + 7x + -7x Combine like terms: 18x + -7x = 11x -42 + 11x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 + 11x = 13 + 0 -42 + 11x = 13 Add '42' to each side of the equation. -42 + 42 + 11x = 13 + 42 Combine like terms: -42 + 42 = 0 0 + 11x = 13 + 42 11x = 13 + 42 Combine like terms: 13 + 42 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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