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Simplifying 5(6x + -5) = 29x + -13 Reorder the terms: 5(-5 + 6x) = 29x + -13 (-5 * 5 + 6x * 5) = 29x + -13 (-25 + 30x) = 29x + -13 Reorder the terms: -25 + 30x = -13 + 29x Solving -25 + 30x = -13 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -25 + 30x + -29x = -13 + 29x + -29x Combine like terms: 30x + -29x = 1x -25 + 1x = -13 + 29x + -29x Combine like terms: 29x + -29x = 0 -25 + 1x = -13 + 0 -25 + 1x = -13 Add '25' to each side of the equation. -25 + 25 + 1x = -13 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = -13 + 25 1x = -13 + 25 Combine like terms: -13 + 25 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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