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Simplifying 5(6x + 6) = 4(2x + 10) Reorder the terms: 5(6 + 6x) = 4(2x + 10) (6 * 5 + 6x * 5) = 4(2x + 10) (30 + 30x) = 4(2x + 10) Reorder the terms: 30 + 30x = 4(10 + 2x) 30 + 30x = (10 * 4 + 2x * 4) 30 + 30x = (40 + 8x) Solving 30 + 30x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 30 + 30x + -8x = 40 + 8x + -8x Combine like terms: 30x + -8x = 22x 30 + 22x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 30 + 22x = 40 + 0 30 + 22x = 40 Add '-30' to each side of the equation. 30 + -30 + 22x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 22x = 40 + -30 22x = 40 + -30 Combine like terms: 40 + -30 = 10 22x = 10 Divide each side by '22'. x = 0.4545454545 Simplifying x = 0.4545454545
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