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Simplifying 10(2x + 9) = 6(6x + 7) Reorder the terms: 10(9 + 2x) = 6(6x + 7) (9 * 10 + 2x * 10) = 6(6x + 7) (90 + 20x) = 6(6x + 7) Reorder the terms: 90 + 20x = 6(7 + 6x) 90 + 20x = (7 * 6 + 6x * 6) 90 + 20x = (42 + 36x) Solving 90 + 20x = 42 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 90 + 20x + -36x = 42 + 36x + -36x Combine like terms: 20x + -36x = -16x 90 + -16x = 42 + 36x + -36x Combine like terms: 36x + -36x = 0 90 + -16x = 42 + 0 90 + -16x = 42 Add '-90' to each side of the equation. 90 + -90 + -16x = 42 + -90 Combine like terms: 90 + -90 = 0 0 + -16x = 42 + -90 -16x = 42 + -90 Combine like terms: 42 + -90 = -48 -16x = -48 Divide each side by '-16'. x = 3 Simplifying x = 3
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