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Simplifying 5(2x + -7) = 6x + 13 Reorder the terms: 5(-7 + 2x) = 6x + 13 (-7 * 5 + 2x * 5) = 6x + 13 (-35 + 10x) = 6x + 13 Reorder the terms: -35 + 10x = 13 + 6x Solving -35 + 10x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -35 + 10x + -6x = 13 + 6x + -6x Combine like terms: 10x + -6x = 4x -35 + 4x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + 4x = 13 + 0 -35 + 4x = 13 Add '35' to each side of the equation. -35 + 35 + 4x = 13 + 35 Combine like terms: -35 + 35 = 0 0 + 4x = 13 + 35 4x = 13 + 35 Combine like terms: 13 + 35 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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